Evaluate
\frac{787}{10}=78.7
Factor
\frac{787}{2 \cdot 5} = 78\frac{7}{10} = 78.7
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)1574}\\\end{array}
Use the 1^{st} digit 1 from dividend 1574
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)1574}\\\end{array}
Since 1 is less than 20, use the next digit 5 from dividend 1574 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)1574}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1574
\begin{array}{l}\phantom{20)}00\phantom{4}\\20\overline{)1574}\\\end{array}
Since 15 is less than 20, use the next digit 7 from dividend 1574 and add 0 to the quotient
\begin{array}{l}\phantom{20)}00\phantom{5}\\20\overline{)1574}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1574
\begin{array}{l}\phantom{20)}007\phantom{6}\\20\overline{)1574}\\\phantom{20)}\underline{\phantom{}140\phantom{9}}\\\phantom{20)9}17\\\end{array}
Find closest multiple of 20 to 157. We see that 7 \times 20 = 140 is the nearest. Now subtract 140 from 157 to get reminder 17. Add 7 to quotient.
\begin{array}{l}\phantom{20)}007\phantom{7}\\20\overline{)1574}\\\phantom{20)}\underline{\phantom{}140\phantom{9}}\\\phantom{20)9}174\\\end{array}
Use the 4^{th} digit 4 from dividend 1574
\begin{array}{l}\phantom{20)}0078\phantom{8}\\20\overline{)1574}\\\phantom{20)}\underline{\phantom{}140\phantom{9}}\\\phantom{20)9}174\\\phantom{20)}\underline{\phantom{9}160\phantom{}}\\\phantom{20)99}14\\\end{array}
Find closest multiple of 20 to 174. We see that 8 \times 20 = 160 is the nearest. Now subtract 160 from 174 to get reminder 14. Add 8 to quotient.
\text{Quotient: }78 \text{Reminder: }14
Since 14 is less than 20, stop the division. The reminder is 14. The topmost line 0078 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 78.
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}