Evaluate
36341172
Factor
2^{2}\times 3^{2}\times 7\times 17^{2}\times 499
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\begin{array}{l}\phantom{49)}\phantom{1}\\49\overline{)1780717428}\\\end{array}
Use the 1^{st} digit 1 from dividend 1780717428
\begin{array}{l}\phantom{49)}0\phantom{2}\\49\overline{)1780717428}\\\end{array}
Since 1 is less than 49, use the next digit 7 from dividend 1780717428 and add 0 to the quotient
\begin{array}{l}\phantom{49)}0\phantom{3}\\49\overline{)1780717428}\\\end{array}
Use the 2^{nd} digit 7 from dividend 1780717428
\begin{array}{l}\phantom{49)}00\phantom{4}\\49\overline{)1780717428}\\\end{array}
Since 17 is less than 49, use the next digit 8 from dividend 1780717428 and add 0 to the quotient
\begin{array}{l}\phantom{49)}00\phantom{5}\\49\overline{)1780717428}\\\end{array}
Use the 3^{rd} digit 8 from dividend 1780717428
\begin{array}{l}\phantom{49)}003\phantom{6}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}31\\\end{array}
Find closest multiple of 49 to 178. We see that 3 \times 49 = 147 is the nearest. Now subtract 147 from 178 to get reminder 31. Add 3 to quotient.
\begin{array}{l}\phantom{49)}003\phantom{7}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\end{array}
Use the 4^{th} digit 0 from dividend 1780717428
\begin{array}{l}\phantom{49)}0036\phantom{8}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\phantom{49)}\underline{\phantom{9}294\phantom{999999}}\\\phantom{49)99}16\\\end{array}
Find closest multiple of 49 to 310. We see that 6 \times 49 = 294 is the nearest. Now subtract 294 from 310 to get reminder 16. Add 6 to quotient.
\begin{array}{l}\phantom{49)}0036\phantom{9}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\phantom{49)}\underline{\phantom{9}294\phantom{999999}}\\\phantom{49)99}167\\\end{array}
Use the 5^{th} digit 7 from dividend 1780717428
\begin{array}{l}\phantom{49)}00363\phantom{10}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\phantom{49)}\underline{\phantom{9}294\phantom{999999}}\\\phantom{49)99}167\\\phantom{49)}\underline{\phantom{99}147\phantom{99999}}\\\phantom{49)999}20\\\end{array}
Find closest multiple of 49 to 167. We see that 3 \times 49 = 147 is the nearest. Now subtract 147 from 167 to get reminder 20. Add 3 to quotient.
\begin{array}{l}\phantom{49)}00363\phantom{11}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\phantom{49)}\underline{\phantom{9}294\phantom{999999}}\\\phantom{49)99}167\\\phantom{49)}\underline{\phantom{99}147\phantom{99999}}\\\phantom{49)999}201\\\end{array}
Use the 6^{th} digit 1 from dividend 1780717428
\begin{array}{l}\phantom{49)}003634\phantom{12}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\phantom{49)}\underline{\phantom{9}294\phantom{999999}}\\\phantom{49)99}167\\\phantom{49)}\underline{\phantom{99}147\phantom{99999}}\\\phantom{49)999}201\\\phantom{49)}\underline{\phantom{999}196\phantom{9999}}\\\phantom{49)99999}5\\\end{array}
Find closest multiple of 49 to 201. We see that 4 \times 49 = 196 is the nearest. Now subtract 196 from 201 to get reminder 5. Add 4 to quotient.
\begin{array}{l}\phantom{49)}003634\phantom{13}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\phantom{49)}\underline{\phantom{9}294\phantom{999999}}\\\phantom{49)99}167\\\phantom{49)}\underline{\phantom{99}147\phantom{99999}}\\\phantom{49)999}201\\\phantom{49)}\underline{\phantom{999}196\phantom{9999}}\\\phantom{49)99999}57\\\end{array}
Use the 7^{th} digit 7 from dividend 1780717428
\begin{array}{l}\phantom{49)}0036341\phantom{14}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\phantom{49)}\underline{\phantom{9}294\phantom{999999}}\\\phantom{49)99}167\\\phantom{49)}\underline{\phantom{99}147\phantom{99999}}\\\phantom{49)999}201\\\phantom{49)}\underline{\phantom{999}196\phantom{9999}}\\\phantom{49)99999}57\\\phantom{49)}\underline{\phantom{99999}49\phantom{999}}\\\phantom{49)999999}8\\\end{array}
Find closest multiple of 49 to 57. We see that 1 \times 49 = 49 is the nearest. Now subtract 49 from 57 to get reminder 8. Add 1 to quotient.
\begin{array}{l}\phantom{49)}0036341\phantom{15}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\phantom{49)}\underline{\phantom{9}294\phantom{999999}}\\\phantom{49)99}167\\\phantom{49)}\underline{\phantom{99}147\phantom{99999}}\\\phantom{49)999}201\\\phantom{49)}\underline{\phantom{999}196\phantom{9999}}\\\phantom{49)99999}57\\\phantom{49)}\underline{\phantom{99999}49\phantom{999}}\\\phantom{49)999999}84\\\end{array}
Use the 8^{th} digit 4 from dividend 1780717428
\begin{array}{l}\phantom{49)}00363411\phantom{16}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\phantom{49)}\underline{\phantom{9}294\phantom{999999}}\\\phantom{49)99}167\\\phantom{49)}\underline{\phantom{99}147\phantom{99999}}\\\phantom{49)999}201\\\phantom{49)}\underline{\phantom{999}196\phantom{9999}}\\\phantom{49)99999}57\\\phantom{49)}\underline{\phantom{99999}49\phantom{999}}\\\phantom{49)999999}84\\\phantom{49)}\underline{\phantom{999999}49\phantom{99}}\\\phantom{49)999999}35\\\end{array}
Find closest multiple of 49 to 84. We see that 1 \times 49 = 49 is the nearest. Now subtract 49 from 84 to get reminder 35. Add 1 to quotient.
\begin{array}{l}\phantom{49)}00363411\phantom{17}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\phantom{49)}\underline{\phantom{9}294\phantom{999999}}\\\phantom{49)99}167\\\phantom{49)}\underline{\phantom{99}147\phantom{99999}}\\\phantom{49)999}201\\\phantom{49)}\underline{\phantom{999}196\phantom{9999}}\\\phantom{49)99999}57\\\phantom{49)}\underline{\phantom{99999}49\phantom{999}}\\\phantom{49)999999}84\\\phantom{49)}\underline{\phantom{999999}49\phantom{99}}\\\phantom{49)999999}352\\\end{array}
Use the 9^{th} digit 2 from dividend 1780717428
\begin{array}{l}\phantom{49)}003634117\phantom{18}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\phantom{49)}\underline{\phantom{9}294\phantom{999999}}\\\phantom{49)99}167\\\phantom{49)}\underline{\phantom{99}147\phantom{99999}}\\\phantom{49)999}201\\\phantom{49)}\underline{\phantom{999}196\phantom{9999}}\\\phantom{49)99999}57\\\phantom{49)}\underline{\phantom{99999}49\phantom{999}}\\\phantom{49)999999}84\\\phantom{49)}\underline{\phantom{999999}49\phantom{99}}\\\phantom{49)999999}352\\\phantom{49)}\underline{\phantom{999999}343\phantom{9}}\\\phantom{49)99999999}9\\\end{array}
Find closest multiple of 49 to 352. We see that 7 \times 49 = 343 is the nearest. Now subtract 343 from 352 to get reminder 9. Add 7 to quotient.
\begin{array}{l}\phantom{49)}003634117\phantom{19}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\phantom{49)}\underline{\phantom{9}294\phantom{999999}}\\\phantom{49)99}167\\\phantom{49)}\underline{\phantom{99}147\phantom{99999}}\\\phantom{49)999}201\\\phantom{49)}\underline{\phantom{999}196\phantom{9999}}\\\phantom{49)99999}57\\\phantom{49)}\underline{\phantom{99999}49\phantom{999}}\\\phantom{49)999999}84\\\phantom{49)}\underline{\phantom{999999}49\phantom{99}}\\\phantom{49)999999}352\\\phantom{49)}\underline{\phantom{999999}343\phantom{9}}\\\phantom{49)99999999}98\\\end{array}
Use the 10^{th} digit 8 from dividend 1780717428
\begin{array}{l}\phantom{49)}0036341172\phantom{20}\\49\overline{)1780717428}\\\phantom{49)}\underline{\phantom{}147\phantom{9999999}}\\\phantom{49)9}310\\\phantom{49)}\underline{\phantom{9}294\phantom{999999}}\\\phantom{49)99}167\\\phantom{49)}\underline{\phantom{99}147\phantom{99999}}\\\phantom{49)999}201\\\phantom{49)}\underline{\phantom{999}196\phantom{9999}}\\\phantom{49)99999}57\\\phantom{49)}\underline{\phantom{99999}49\phantom{999}}\\\phantom{49)999999}84\\\phantom{49)}\underline{\phantom{999999}49\phantom{99}}\\\phantom{49)999999}352\\\phantom{49)}\underline{\phantom{999999}343\phantom{9}}\\\phantom{49)99999999}98\\\phantom{49)}\underline{\phantom{99999999}98\phantom{}}\\\phantom{49)9999999999}0\\\end{array}
Find closest multiple of 49 to 98. We see that 2 \times 49 = 98 is the nearest. Now subtract 98 from 98 to get reminder 0. Add 2 to quotient.
\text{Quotient: }36341172 \text{Reminder: }0
Since 0 is less than 49, stop the division. The reminder is 0. The topmost line 0036341172 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 36341172.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}