Evaluate
\frac{629856}{25}=25194.24
Factor
\frac{2 ^ {5} \cdot 3 ^ {9}}{5 ^ {2}} = 25194\frac{6}{25} = 25194.24
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)629856}\\\end{array}
Use the 1^{st} digit 6 from dividend 629856
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)629856}\\\end{array}
Since 6 is less than 25, use the next digit 2 from dividend 629856 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)629856}\\\end{array}
Use the 2^{nd} digit 2 from dividend 629856
\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)629856}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)}12\\\end{array}
Find closest multiple of 25 to 62. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 62 to get reminder 12. Add 2 to quotient.
\begin{array}{l}\phantom{25)}02\phantom{5}\\25\overline{)629856}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)}129\\\end{array}
Use the 3^{rd} digit 9 from dividend 629856
\begin{array}{l}\phantom{25)}025\phantom{6}\\25\overline{)629856}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)}129\\\phantom{25)}\underline{\phantom{}125\phantom{999}}\\\phantom{25)99}4\\\end{array}
Find closest multiple of 25 to 129. We see that 5 \times 25 = 125 is the nearest. Now subtract 125 from 129 to get reminder 4. Add 5 to quotient.
\begin{array}{l}\phantom{25)}025\phantom{7}\\25\overline{)629856}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)}129\\\phantom{25)}\underline{\phantom{}125\phantom{999}}\\\phantom{25)99}48\\\end{array}
Use the 4^{th} digit 8 from dividend 629856
\begin{array}{l}\phantom{25)}0251\phantom{8}\\25\overline{)629856}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)}129\\\phantom{25)}\underline{\phantom{}125\phantom{999}}\\\phantom{25)99}48\\\phantom{25)}\underline{\phantom{99}25\phantom{99}}\\\phantom{25)99}23\\\end{array}
Find closest multiple of 25 to 48. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 48 to get reminder 23. Add 1 to quotient.
\begin{array}{l}\phantom{25)}0251\phantom{9}\\25\overline{)629856}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)}129\\\phantom{25)}\underline{\phantom{}125\phantom{999}}\\\phantom{25)99}48\\\phantom{25)}\underline{\phantom{99}25\phantom{99}}\\\phantom{25)99}235\\\end{array}
Use the 5^{th} digit 5 from dividend 629856
\begin{array}{l}\phantom{25)}02519\phantom{10}\\25\overline{)629856}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)}129\\\phantom{25)}\underline{\phantom{}125\phantom{999}}\\\phantom{25)99}48\\\phantom{25)}\underline{\phantom{99}25\phantom{99}}\\\phantom{25)99}235\\\phantom{25)}\underline{\phantom{99}225\phantom{9}}\\\phantom{25)999}10\\\end{array}
Find closest multiple of 25 to 235. We see that 9 \times 25 = 225 is the nearest. Now subtract 225 from 235 to get reminder 10. Add 9 to quotient.
\begin{array}{l}\phantom{25)}02519\phantom{11}\\25\overline{)629856}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)}129\\\phantom{25)}\underline{\phantom{}125\phantom{999}}\\\phantom{25)99}48\\\phantom{25)}\underline{\phantom{99}25\phantom{99}}\\\phantom{25)99}235\\\phantom{25)}\underline{\phantom{99}225\phantom{9}}\\\phantom{25)999}106\\\end{array}
Use the 6^{th} digit 6 from dividend 629856
\begin{array}{l}\phantom{25)}025194\phantom{12}\\25\overline{)629856}\\\phantom{25)}\underline{\phantom{}50\phantom{9999}}\\\phantom{25)}129\\\phantom{25)}\underline{\phantom{}125\phantom{999}}\\\phantom{25)99}48\\\phantom{25)}\underline{\phantom{99}25\phantom{99}}\\\phantom{25)99}235\\\phantom{25)}\underline{\phantom{99}225\phantom{9}}\\\phantom{25)999}106\\\phantom{25)}\underline{\phantom{999}100\phantom{}}\\\phantom{25)99999}6\\\end{array}
Find closest multiple of 25 to 106. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 106 to get reminder 6. Add 4 to quotient.
\text{Quotient: }25194 \text{Reminder: }6
Since 6 is less than 25, stop the division. The reminder is 6. The topmost line 025194 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25194.
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}