Evaluate
\frac{74800048}{45}\approx 1662223.288888889
Factor
\frac{2 ^ {4} \cdot 23 \cdot 29 \cdot 43 \cdot 163}{3 ^ {2} \cdot 5} = 1662223\frac{13}{45} = 1662223.288888889
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\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)74800048}\\\end{array}
Use the 1^{st} digit 7 from dividend 74800048
\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)74800048}\\\end{array}
Since 7 is less than 45, use the next digit 4 from dividend 74800048 and add 0 to the quotient
\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)74800048}\\\end{array}
Use the 2^{nd} digit 4 from dividend 74800048
\begin{array}{l}\phantom{45)}01\phantom{4}\\45\overline{)74800048}\\\phantom{45)}\underline{\phantom{}45\phantom{999999}}\\\phantom{45)}29\\\end{array}
Find closest multiple of 45 to 74. We see that 1 \times 45 = 45 is the nearest. Now subtract 45 from 74 to get reminder 29. Add 1 to quotient.
\begin{array}{l}\phantom{45)}01\phantom{5}\\45\overline{)74800048}\\\phantom{45)}\underline{\phantom{}45\phantom{999999}}\\\phantom{45)}298\\\end{array}
Use the 3^{rd} digit 8 from dividend 74800048
\begin{array}{l}\phantom{45)}016\phantom{6}\\45\overline{)74800048}\\\phantom{45)}\underline{\phantom{}45\phantom{999999}}\\\phantom{45)}298\\\phantom{45)}\underline{\phantom{}270\phantom{99999}}\\\phantom{45)9}28\\\end{array}
Find closest multiple of 45 to 298. We see that 6 \times 45 = 270 is the nearest. Now subtract 270 from 298 to get reminder 28. Add 6 to quotient.
\begin{array}{l}\phantom{45)}016\phantom{7}\\45\overline{)74800048}\\\phantom{45)}\underline{\phantom{}45\phantom{999999}}\\\phantom{45)}298\\\phantom{45)}\underline{\phantom{}270\phantom{99999}}\\\phantom{45)9}280\\\end{array}
Use the 4^{th} digit 0 from dividend 74800048
\begin{array}{l}\phantom{45)}0166\phantom{8}\\45\overline{)74800048}\\\phantom{45)}\underline{\phantom{}45\phantom{999999}}\\\phantom{45)}298\\\phantom{45)}\underline{\phantom{}270\phantom{99999}}\\\phantom{45)9}280\\\phantom{45)}\underline{\phantom{9}270\phantom{9999}}\\\phantom{45)99}10\\\end{array}
Find closest multiple of 45 to 280. We see that 6 \times 45 = 270 is the nearest. Now subtract 270 from 280 to get reminder 10. Add 6 to quotient.
\begin{array}{l}\phantom{45)}0166\phantom{9}\\45\overline{)74800048}\\\phantom{45)}\underline{\phantom{}45\phantom{999999}}\\\phantom{45)}298\\\phantom{45)}\underline{\phantom{}270\phantom{99999}}\\\phantom{45)9}280\\\phantom{45)}\underline{\phantom{9}270\phantom{9999}}\\\phantom{45)99}100\\\end{array}
Use the 5^{th} digit 0 from dividend 74800048
\begin{array}{l}\phantom{45)}01662\phantom{10}\\45\overline{)74800048}\\\phantom{45)}\underline{\phantom{}45\phantom{999999}}\\\phantom{45)}298\\\phantom{45)}\underline{\phantom{}270\phantom{99999}}\\\phantom{45)9}280\\\phantom{45)}\underline{\phantom{9}270\phantom{9999}}\\\phantom{45)99}100\\\phantom{45)}\underline{\phantom{999}90\phantom{999}}\\\phantom{45)999}10\\\end{array}
Find closest multiple of 45 to 100. We see that 2 \times 45 = 90 is the nearest. Now subtract 90 from 100 to get reminder 10. Add 2 to quotient.
\begin{array}{l}\phantom{45)}01662\phantom{11}\\45\overline{)74800048}\\\phantom{45)}\underline{\phantom{}45\phantom{999999}}\\\phantom{45)}298\\\phantom{45)}\underline{\phantom{}270\phantom{99999}}\\\phantom{45)9}280\\\phantom{45)}\underline{\phantom{9}270\phantom{9999}}\\\phantom{45)99}100\\\phantom{45)}\underline{\phantom{999}90\phantom{999}}\\\phantom{45)999}100\\\end{array}
Use the 6^{th} digit 0 from dividend 74800048
\begin{array}{l}\phantom{45)}016622\phantom{12}\\45\overline{)74800048}\\\phantom{45)}\underline{\phantom{}45\phantom{999999}}\\\phantom{45)}298\\\phantom{45)}\underline{\phantom{}270\phantom{99999}}\\\phantom{45)9}280\\\phantom{45)}\underline{\phantom{9}270\phantom{9999}}\\\phantom{45)99}100\\\phantom{45)}\underline{\phantom{999}90\phantom{999}}\\\phantom{45)999}100\\\phantom{45)}\underline{\phantom{9999}90\phantom{99}}\\\phantom{45)9999}10\\\end{array}
Find closest multiple of 45 to 100. We see that 2 \times 45 = 90 is the nearest. Now subtract 90 from 100 to get reminder 10. Add 2 to quotient.
\begin{array}{l}\phantom{45)}016622\phantom{13}\\45\overline{)74800048}\\\phantom{45)}\underline{\phantom{}45\phantom{999999}}\\\phantom{45)}298\\\phantom{45)}\underline{\phantom{}270\phantom{99999}}\\\phantom{45)9}280\\\phantom{45)}\underline{\phantom{9}270\phantom{9999}}\\\phantom{45)99}100\\\phantom{45)}\underline{\phantom{999}90\phantom{999}}\\\phantom{45)999}100\\\phantom{45)}\underline{\phantom{9999}90\phantom{99}}\\\phantom{45)9999}104\\\end{array}
Use the 7^{th} digit 4 from dividend 74800048
\begin{array}{l}\phantom{45)}0166222\phantom{14}\\45\overline{)74800048}\\\phantom{45)}\underline{\phantom{}45\phantom{999999}}\\\phantom{45)}298\\\phantom{45)}\underline{\phantom{}270\phantom{99999}}\\\phantom{45)9}280\\\phantom{45)}\underline{\phantom{9}270\phantom{9999}}\\\phantom{45)99}100\\\phantom{45)}\underline{\phantom{999}90\phantom{999}}\\\phantom{45)999}100\\\phantom{45)}\underline{\phantom{9999}90\phantom{99}}\\\phantom{45)9999}104\\\phantom{45)}\underline{\phantom{99999}90\phantom{9}}\\\phantom{45)99999}14\\\end{array}
Find closest multiple of 45 to 104. We see that 2 \times 45 = 90 is the nearest. Now subtract 90 from 104 to get reminder 14. Add 2 to quotient.
\begin{array}{l}\phantom{45)}0166222\phantom{15}\\45\overline{)74800048}\\\phantom{45)}\underline{\phantom{}45\phantom{999999}}\\\phantom{45)}298\\\phantom{45)}\underline{\phantom{}270\phantom{99999}}\\\phantom{45)9}280\\\phantom{45)}\underline{\phantom{9}270\phantom{9999}}\\\phantom{45)99}100\\\phantom{45)}\underline{\phantom{999}90\phantom{999}}\\\phantom{45)999}100\\\phantom{45)}\underline{\phantom{9999}90\phantom{99}}\\\phantom{45)9999}104\\\phantom{45)}\underline{\phantom{99999}90\phantom{9}}\\\phantom{45)99999}148\\\end{array}
Use the 8^{th} digit 8 from dividend 74800048
\begin{array}{l}\phantom{45)}01662223\phantom{16}\\45\overline{)74800048}\\\phantom{45)}\underline{\phantom{}45\phantom{999999}}\\\phantom{45)}298\\\phantom{45)}\underline{\phantom{}270\phantom{99999}}\\\phantom{45)9}280\\\phantom{45)}\underline{\phantom{9}270\phantom{9999}}\\\phantom{45)99}100\\\phantom{45)}\underline{\phantom{999}90\phantom{999}}\\\phantom{45)999}100\\\phantom{45)}\underline{\phantom{9999}90\phantom{99}}\\\phantom{45)9999}104\\\phantom{45)}\underline{\phantom{99999}90\phantom{9}}\\\phantom{45)99999}148\\\phantom{45)}\underline{\phantom{99999}135\phantom{}}\\\phantom{45)999999}13\\\end{array}
Find closest multiple of 45 to 148. We see that 3 \times 45 = 135 is the nearest. Now subtract 135 from 148 to get reminder 13. Add 3 to quotient.
\text{Quotient: }1662223 \text{Reminder: }13
Since 13 is less than 45, stop the division. The reminder is 13. The topmost line 01662223 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1662223.
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}