Evaluate
\frac{86}{5}=17.2
Factor
\frac{2 \cdot 43}{5} = 17\frac{1}{5} = 17.2
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)1720}\\\end{array}
Use the 1^{st} digit 1 from dividend 1720
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)1720}\\\end{array}
Since 1 is less than 100, use the next digit 7 from dividend 1720 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)1720}\\\end{array}
Use the 2^{nd} digit 7 from dividend 1720
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)1720}\\\end{array}
Since 17 is less than 100, use the next digit 2 from dividend 1720 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)1720}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1720
\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)1720}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}72\\\end{array}
Find closest multiple of 100 to 172. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 172 to get reminder 72. Add 1 to quotient.
\begin{array}{l}\phantom{100)}001\phantom{7}\\100\overline{)1720}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}720\\\end{array}
Use the 4^{th} digit 0 from dividend 1720
\begin{array}{l}\phantom{100)}0017\phantom{8}\\100\overline{)1720}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}720\\\phantom{100)}\underline{\phantom{9}700\phantom{}}\\\phantom{100)99}20\\\end{array}
Find closest multiple of 100 to 720. We see that 7 \times 100 = 700 is the nearest. Now subtract 700 from 720 to get reminder 20. Add 7 to quotient.
\text{Quotient: }17 \text{Reminder: }20
Since 20 is less than 100, stop the division. The reminder is 20. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.
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}