Evaluate
\frac{785398}{25}=31415.92
Factor
\frac{2 \cdot 392699}{5 ^ {2}} = 31415\frac{23}{25} = 31415.92
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)1570796}\\\end{array}
Use the 1^{st} digit 1 from dividend 1570796
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)1570796}\\\end{array}
Since 1 is less than 50, use the next digit 5 from dividend 1570796 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)1570796}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1570796
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)1570796}\\\end{array}
Since 15 is less than 50, use the next digit 7 from dividend 1570796 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)1570796}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1570796
\begin{array}{l}\phantom{50)}003\phantom{6}\\50\overline{)1570796}\\\phantom{50)}\underline{\phantom{}150\phantom{9999}}\\\phantom{50)99}7\\\end{array}
Find closest multiple of 50 to 157. We see that 3 \times 50 = 150 is the nearest. Now subtract 150 from 157 to get reminder 7. Add 3 to quotient.
\begin{array}{l}\phantom{50)}003\phantom{7}\\50\overline{)1570796}\\\phantom{50)}\underline{\phantom{}150\phantom{9999}}\\\phantom{50)99}70\\\end{array}
Use the 4^{th} digit 0 from dividend 1570796
\begin{array}{l}\phantom{50)}0031\phantom{8}\\50\overline{)1570796}\\\phantom{50)}\underline{\phantom{}150\phantom{9999}}\\\phantom{50)99}70\\\phantom{50)}\underline{\phantom{99}50\phantom{999}}\\\phantom{50)99}20\\\end{array}
Find closest multiple of 50 to 70. We see that 1 \times 50 = 50 is the nearest. Now subtract 50 from 70 to get reminder 20. Add 1 to quotient.
\begin{array}{l}\phantom{50)}0031\phantom{9}\\50\overline{)1570796}\\\phantom{50)}\underline{\phantom{}150\phantom{9999}}\\\phantom{50)99}70\\\phantom{50)}\underline{\phantom{99}50\phantom{999}}\\\phantom{50)99}207\\\end{array}
Use the 5^{th} digit 7 from dividend 1570796
\begin{array}{l}\phantom{50)}00314\phantom{10}\\50\overline{)1570796}\\\phantom{50)}\underline{\phantom{}150\phantom{9999}}\\\phantom{50)99}70\\\phantom{50)}\underline{\phantom{99}50\phantom{999}}\\\phantom{50)99}207\\\phantom{50)}\underline{\phantom{99}200\phantom{99}}\\\phantom{50)9999}7\\\end{array}
Find closest multiple of 50 to 207. We see that 4 \times 50 = 200 is the nearest. Now subtract 200 from 207 to get reminder 7. Add 4 to quotient.
\begin{array}{l}\phantom{50)}00314\phantom{11}\\50\overline{)1570796}\\\phantom{50)}\underline{\phantom{}150\phantom{9999}}\\\phantom{50)99}70\\\phantom{50)}\underline{\phantom{99}50\phantom{999}}\\\phantom{50)99}207\\\phantom{50)}\underline{\phantom{99}200\phantom{99}}\\\phantom{50)9999}79\\\end{array}
Use the 6^{th} digit 9 from dividend 1570796
\begin{array}{l}\phantom{50)}003141\phantom{12}\\50\overline{)1570796}\\\phantom{50)}\underline{\phantom{}150\phantom{9999}}\\\phantom{50)99}70\\\phantom{50)}\underline{\phantom{99}50\phantom{999}}\\\phantom{50)99}207\\\phantom{50)}\underline{\phantom{99}200\phantom{99}}\\\phantom{50)9999}79\\\phantom{50)}\underline{\phantom{9999}50\phantom{9}}\\\phantom{50)9999}29\\\end{array}
Find closest multiple of 50 to 79. We see that 1 \times 50 = 50 is the nearest. Now subtract 50 from 79 to get reminder 29. Add 1 to quotient.
\begin{array}{l}\phantom{50)}003141\phantom{13}\\50\overline{)1570796}\\\phantom{50)}\underline{\phantom{}150\phantom{9999}}\\\phantom{50)99}70\\\phantom{50)}\underline{\phantom{99}50\phantom{999}}\\\phantom{50)99}207\\\phantom{50)}\underline{\phantom{99}200\phantom{99}}\\\phantom{50)9999}79\\\phantom{50)}\underline{\phantom{9999}50\phantom{9}}\\\phantom{50)9999}296\\\end{array}
Use the 7^{th} digit 6 from dividend 1570796
\begin{array}{l}\phantom{50)}0031415\phantom{14}\\50\overline{)1570796}\\\phantom{50)}\underline{\phantom{}150\phantom{9999}}\\\phantom{50)99}70\\\phantom{50)}\underline{\phantom{99}50\phantom{999}}\\\phantom{50)99}207\\\phantom{50)}\underline{\phantom{99}200\phantom{99}}\\\phantom{50)9999}79\\\phantom{50)}\underline{\phantom{9999}50\phantom{9}}\\\phantom{50)9999}296\\\phantom{50)}\underline{\phantom{9999}250\phantom{}}\\\phantom{50)99999}46\\\end{array}
Find closest multiple of 50 to 296. We see that 5 \times 50 = 250 is the nearest. Now subtract 250 from 296 to get reminder 46. Add 5 to quotient.
\text{Quotient: }31415 \text{Reminder: }46
Since 46 is less than 50, stop the division. The reminder is 46. The topmost line 0031415 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31415.
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}