Evaluate
\frac{317}{5}=63.4
Factor
\frac{317}{5} = 63\frac{2}{5} = 63.4
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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)2219}\\\end{array}
Use the 1^{st} digit 2 from dividend 2219
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)2219}\\\end{array}
Since 2 is less than 35, use the next digit 2 from dividend 2219 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)2219}\\\end{array}
Use the 2^{nd} digit 2 from dividend 2219
\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)2219}\\\end{array}
Since 22 is less than 35, use the next digit 1 from dividend 2219 and add 0 to the quotient
\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)2219}\\\end{array}
Use the 3^{rd} digit 1 from dividend 2219
\begin{array}{l}\phantom{35)}006\phantom{6}\\35\overline{)2219}\\\phantom{35)}\underline{\phantom{}210\phantom{9}}\\\phantom{35)9}11\\\end{array}
Find closest multiple of 35 to 221. We see that 6 \times 35 = 210 is the nearest. Now subtract 210 from 221 to get reminder 11. Add 6 to quotient.
\begin{array}{l}\phantom{35)}006\phantom{7}\\35\overline{)2219}\\\phantom{35)}\underline{\phantom{}210\phantom{9}}\\\phantom{35)9}119\\\end{array}
Use the 4^{th} digit 9 from dividend 2219
\begin{array}{l}\phantom{35)}0063\phantom{8}\\35\overline{)2219}\\\phantom{35)}\underline{\phantom{}210\phantom{9}}\\\phantom{35)9}119\\\phantom{35)}\underline{\phantom{9}105\phantom{}}\\\phantom{35)99}14\\\end{array}
Find closest multiple of 35 to 119. We see that 3 \times 35 = 105 is the nearest. Now subtract 105 from 119 to get reminder 14. Add 3 to quotient.
\text{Quotient: }63 \text{Reminder: }14
Since 14 is less than 35, stop the division. The reminder is 14. The topmost line 0063 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 63.
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}