Evaluate
\frac{398182}{31}\approx 12844.580645161
Factor
\frac{2 \cdot 263 \cdot 757}{31} = 12844\frac{18}{31} = 12844.58064516129
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\begin{array}{l}\phantom{62)}\phantom{1}\\62\overline{)796364}\\\end{array}
Use the 1^{st} digit 7 from dividend 796364
\begin{array}{l}\phantom{62)}0\phantom{2}\\62\overline{)796364}\\\end{array}
Since 7 is less than 62, use the next digit 9 from dividend 796364 and add 0 to the quotient
\begin{array}{l}\phantom{62)}0\phantom{3}\\62\overline{)796364}\\\end{array}
Use the 2^{nd} digit 9 from dividend 796364
\begin{array}{l}\phantom{62)}01\phantom{4}\\62\overline{)796364}\\\phantom{62)}\underline{\phantom{}62\phantom{9999}}\\\phantom{62)}17\\\end{array}
Find closest multiple of 62 to 79. We see that 1 \times 62 = 62 is the nearest. Now subtract 62 from 79 to get reminder 17. Add 1 to quotient.
\begin{array}{l}\phantom{62)}01\phantom{5}\\62\overline{)796364}\\\phantom{62)}\underline{\phantom{}62\phantom{9999}}\\\phantom{62)}176\\\end{array}
Use the 3^{rd} digit 6 from dividend 796364
\begin{array}{l}\phantom{62)}012\phantom{6}\\62\overline{)796364}\\\phantom{62)}\underline{\phantom{}62\phantom{9999}}\\\phantom{62)}176\\\phantom{62)}\underline{\phantom{}124\phantom{999}}\\\phantom{62)9}52\\\end{array}
Find closest multiple of 62 to 176. We see that 2 \times 62 = 124 is the nearest. Now subtract 124 from 176 to get reminder 52. Add 2 to quotient.
\begin{array}{l}\phantom{62)}012\phantom{7}\\62\overline{)796364}\\\phantom{62)}\underline{\phantom{}62\phantom{9999}}\\\phantom{62)}176\\\phantom{62)}\underline{\phantom{}124\phantom{999}}\\\phantom{62)9}523\\\end{array}
Use the 4^{th} digit 3 from dividend 796364
\begin{array}{l}\phantom{62)}0128\phantom{8}\\62\overline{)796364}\\\phantom{62)}\underline{\phantom{}62\phantom{9999}}\\\phantom{62)}176\\\phantom{62)}\underline{\phantom{}124\phantom{999}}\\\phantom{62)9}523\\\phantom{62)}\underline{\phantom{9}496\phantom{99}}\\\phantom{62)99}27\\\end{array}
Find closest multiple of 62 to 523. We see that 8 \times 62 = 496 is the nearest. Now subtract 496 from 523 to get reminder 27. Add 8 to quotient.
\begin{array}{l}\phantom{62)}0128\phantom{9}\\62\overline{)796364}\\\phantom{62)}\underline{\phantom{}62\phantom{9999}}\\\phantom{62)}176\\\phantom{62)}\underline{\phantom{}124\phantom{999}}\\\phantom{62)9}523\\\phantom{62)}\underline{\phantom{9}496\phantom{99}}\\\phantom{62)99}276\\\end{array}
Use the 5^{th} digit 6 from dividend 796364
\begin{array}{l}\phantom{62)}01284\phantom{10}\\62\overline{)796364}\\\phantom{62)}\underline{\phantom{}62\phantom{9999}}\\\phantom{62)}176\\\phantom{62)}\underline{\phantom{}124\phantom{999}}\\\phantom{62)9}523\\\phantom{62)}\underline{\phantom{9}496\phantom{99}}\\\phantom{62)99}276\\\phantom{62)}\underline{\phantom{99}248\phantom{9}}\\\phantom{62)999}28\\\end{array}
Find closest multiple of 62 to 276. We see that 4 \times 62 = 248 is the nearest. Now subtract 248 from 276 to get reminder 28. Add 4 to quotient.
\begin{array}{l}\phantom{62)}01284\phantom{11}\\62\overline{)796364}\\\phantom{62)}\underline{\phantom{}62\phantom{9999}}\\\phantom{62)}176\\\phantom{62)}\underline{\phantom{}124\phantom{999}}\\\phantom{62)9}523\\\phantom{62)}\underline{\phantom{9}496\phantom{99}}\\\phantom{62)99}276\\\phantom{62)}\underline{\phantom{99}248\phantom{9}}\\\phantom{62)999}284\\\end{array}
Use the 6^{th} digit 4 from dividend 796364
\begin{array}{l}\phantom{62)}012844\phantom{12}\\62\overline{)796364}\\\phantom{62)}\underline{\phantom{}62\phantom{9999}}\\\phantom{62)}176\\\phantom{62)}\underline{\phantom{}124\phantom{999}}\\\phantom{62)9}523\\\phantom{62)}\underline{\phantom{9}496\phantom{99}}\\\phantom{62)99}276\\\phantom{62)}\underline{\phantom{99}248\phantom{9}}\\\phantom{62)999}284\\\phantom{62)}\underline{\phantom{999}248\phantom{}}\\\phantom{62)9999}36\\\end{array}
Find closest multiple of 62 to 284. We see that 4 \times 62 = 248 is the nearest. Now subtract 248 from 284 to get reminder 36. Add 4 to quotient.
\text{Quotient: }12844 \text{Reminder: }36
Since 36 is less than 62, stop the division. The reminder is 36. The topmost line 012844 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12844.
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}