Evaluate
\frac{1700000}{49}\approx 34693.87755102
Factor
\frac{2 ^ {5} \cdot 5 ^ {5} \cdot 17}{7 ^ {2}} = 34693\frac{43}{49} = 34693.87755102041
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\begin{array}{l}\phantom{49)}\phantom{1}\\49\overline{)1700000}\\\end{array}
Use the 1^{st} digit 1 from dividend 1700000
\begin{array}{l}\phantom{49)}0\phantom{2}\\49\overline{)1700000}\\\end{array}
Since 1 is less than 49, use the next digit 7 from dividend 1700000 and add 0 to the quotient
\begin{array}{l}\phantom{49)}0\phantom{3}\\49\overline{)1700000}\\\end{array}
Use the 2^{nd} digit 7 from dividend 1700000
\begin{array}{l}\phantom{49)}00\phantom{4}\\49\overline{)1700000}\\\end{array}
Since 17 is less than 49, use the next digit 0 from dividend 1700000 and add 0 to the quotient
\begin{array}{l}\phantom{49)}00\phantom{5}\\49\overline{)1700000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1700000
\begin{array}{l}\phantom{49)}003\phantom{6}\\49\overline{)1700000}\\\phantom{49)}\underline{\phantom{}147\phantom{9999}}\\\phantom{49)9}23\\\end{array}
Find closest multiple of 49 to 170. We see that 3 \times 49 = 147 is the nearest. Now subtract 147 from 170 to get reminder 23. Add 3 to quotient.
\begin{array}{l}\phantom{49)}003\phantom{7}\\49\overline{)1700000}\\\phantom{49)}\underline{\phantom{}147\phantom{9999}}\\\phantom{49)9}230\\\end{array}
Use the 4^{th} digit 0 from dividend 1700000
\begin{array}{l}\phantom{49)}0034\phantom{8}\\49\overline{)1700000}\\\phantom{49)}\underline{\phantom{}147\phantom{9999}}\\\phantom{49)9}230\\\phantom{49)}\underline{\phantom{9}196\phantom{999}}\\\phantom{49)99}34\\\end{array}
Find closest multiple of 49 to 230. We see that 4 \times 49 = 196 is the nearest. Now subtract 196 from 230 to get reminder 34. Add 4 to quotient.
\begin{array}{l}\phantom{49)}0034\phantom{9}\\49\overline{)1700000}\\\phantom{49)}\underline{\phantom{}147\phantom{9999}}\\\phantom{49)9}230\\\phantom{49)}\underline{\phantom{9}196\phantom{999}}\\\phantom{49)99}340\\\end{array}
Use the 5^{th} digit 0 from dividend 1700000
\begin{array}{l}\phantom{49)}00346\phantom{10}\\49\overline{)1700000}\\\phantom{49)}\underline{\phantom{}147\phantom{9999}}\\\phantom{49)9}230\\\phantom{49)}\underline{\phantom{9}196\phantom{999}}\\\phantom{49)99}340\\\phantom{49)}\underline{\phantom{99}294\phantom{99}}\\\phantom{49)999}46\\\end{array}
Find closest multiple of 49 to 340. We see that 6 \times 49 = 294 is the nearest. Now subtract 294 from 340 to get reminder 46. Add 6 to quotient.
\begin{array}{l}\phantom{49)}00346\phantom{11}\\49\overline{)1700000}\\\phantom{49)}\underline{\phantom{}147\phantom{9999}}\\\phantom{49)9}230\\\phantom{49)}\underline{\phantom{9}196\phantom{999}}\\\phantom{49)99}340\\\phantom{49)}\underline{\phantom{99}294\phantom{99}}\\\phantom{49)999}460\\\end{array}
Use the 6^{th} digit 0 from dividend 1700000
\begin{array}{l}\phantom{49)}003469\phantom{12}\\49\overline{)1700000}\\\phantom{49)}\underline{\phantom{}147\phantom{9999}}\\\phantom{49)9}230\\\phantom{49)}\underline{\phantom{9}196\phantom{999}}\\\phantom{49)99}340\\\phantom{49)}\underline{\phantom{99}294\phantom{99}}\\\phantom{49)999}460\\\phantom{49)}\underline{\phantom{999}441\phantom{9}}\\\phantom{49)9999}19\\\end{array}
Find closest multiple of 49 to 460. We see that 9 \times 49 = 441 is the nearest. Now subtract 441 from 460 to get reminder 19. Add 9 to quotient.
\begin{array}{l}\phantom{49)}003469\phantom{13}\\49\overline{)1700000}\\\phantom{49)}\underline{\phantom{}147\phantom{9999}}\\\phantom{49)9}230\\\phantom{49)}\underline{\phantom{9}196\phantom{999}}\\\phantom{49)99}340\\\phantom{49)}\underline{\phantom{99}294\phantom{99}}\\\phantom{49)999}460\\\phantom{49)}\underline{\phantom{999}441\phantom{9}}\\\phantom{49)9999}190\\\end{array}
Use the 7^{th} digit 0 from dividend 1700000
\begin{array}{l}\phantom{49)}0034693\phantom{14}\\49\overline{)1700000}\\\phantom{49)}\underline{\phantom{}147\phantom{9999}}\\\phantom{49)9}230\\\phantom{49)}\underline{\phantom{9}196\phantom{999}}\\\phantom{49)99}340\\\phantom{49)}\underline{\phantom{99}294\phantom{99}}\\\phantom{49)999}460\\\phantom{49)}\underline{\phantom{999}441\phantom{9}}\\\phantom{49)9999}190\\\phantom{49)}\underline{\phantom{9999}147\phantom{}}\\\phantom{49)99999}43\\\end{array}
Find closest multiple of 49 to 190. We see that 3 \times 49 = 147 is the nearest. Now subtract 147 from 190 to get reminder 43. Add 3 to quotient.
\text{Quotient: }34693 \text{Reminder: }43
Since 43 is less than 49, stop the division. The reminder is 43. The topmost line 0034693 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 34693.
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}