Evaluate
\frac{8706}{95}\approx 91.642105263
Factor
\frac{2 \cdot 3 \cdot 1451}{5 \cdot 19} = 91\frac{61}{95} = 91.6421052631579
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\begin{array}{l}\phantom{95)}\phantom{1}\\95\overline{)8706}\\\end{array}
Use the 1^{st} digit 8 from dividend 8706
\begin{array}{l}\phantom{95)}0\phantom{2}\\95\overline{)8706}\\\end{array}
Since 8 is less than 95, use the next digit 7 from dividend 8706 and add 0 to the quotient
\begin{array}{l}\phantom{95)}0\phantom{3}\\95\overline{)8706}\\\end{array}
Use the 2^{nd} digit 7 from dividend 8706
\begin{array}{l}\phantom{95)}00\phantom{4}\\95\overline{)8706}\\\end{array}
Since 87 is less than 95, use the next digit 0 from dividend 8706 and add 0 to the quotient
\begin{array}{l}\phantom{95)}00\phantom{5}\\95\overline{)8706}\\\end{array}
Use the 3^{rd} digit 0 from dividend 8706
\begin{array}{l}\phantom{95)}009\phantom{6}\\95\overline{)8706}\\\phantom{95)}\underline{\phantom{}855\phantom{9}}\\\phantom{95)9}15\\\end{array}
Find closest multiple of 95 to 870. We see that 9 \times 95 = 855 is the nearest. Now subtract 855 from 870 to get reminder 15. Add 9 to quotient.
\begin{array}{l}\phantom{95)}009\phantom{7}\\95\overline{)8706}\\\phantom{95)}\underline{\phantom{}855\phantom{9}}\\\phantom{95)9}156\\\end{array}
Use the 4^{th} digit 6 from dividend 8706
\begin{array}{l}\phantom{95)}0091\phantom{8}\\95\overline{)8706}\\\phantom{95)}\underline{\phantom{}855\phantom{9}}\\\phantom{95)9}156\\\phantom{95)}\underline{\phantom{99}95\phantom{}}\\\phantom{95)99}61\\\end{array}
Find closest multiple of 95 to 156. We see that 1 \times 95 = 95 is the nearest. Now subtract 95 from 156 to get reminder 61. Add 1 to quotient.
\text{Quotient: }91 \text{Reminder: }61
Since 61 is less than 95, stop the division. The reminder is 61. The topmost line 0091 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 91.
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}