Evaluate
\frac{640}{7}\approx 91.428571429
Factor
\frac{2 ^ {7} \cdot 5}{7} = 91\frac{3}{7} = 91.42857142857143
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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)3200}\\\end{array}
Use the 1^{st} digit 3 from dividend 3200
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)3200}\\\end{array}
Since 3 is less than 35, use the next digit 2 from dividend 3200 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)3200}\\\end{array}
Use the 2^{nd} digit 2 from dividend 3200
\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)3200}\\\end{array}
Since 32 is less than 35, use the next digit 0 from dividend 3200 and add 0 to the quotient
\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)3200}\\\end{array}
Use the 3^{rd} digit 0 from dividend 3200
\begin{array}{l}\phantom{35)}009\phantom{6}\\35\overline{)3200}\\\phantom{35)}\underline{\phantom{}315\phantom{9}}\\\phantom{35)99}5\\\end{array}
Find closest multiple of 35 to 320. We see that 9 \times 35 = 315 is the nearest. Now subtract 315 from 320 to get reminder 5. Add 9 to quotient.
\begin{array}{l}\phantom{35)}009\phantom{7}\\35\overline{)3200}\\\phantom{35)}\underline{\phantom{}315\phantom{9}}\\\phantom{35)99}50\\\end{array}
Use the 4^{th} digit 0 from dividend 3200
\begin{array}{l}\phantom{35)}0091\phantom{8}\\35\overline{)3200}\\\phantom{35)}\underline{\phantom{}315\phantom{9}}\\\phantom{35)99}50\\\phantom{35)}\underline{\phantom{99}35\phantom{}}\\\phantom{35)99}15\\\end{array}
Find closest multiple of 35 to 50. We see that 1 \times 35 = 35 is the nearest. Now subtract 35 from 50 to get reminder 15. Add 1 to quotient.
\text{Quotient: }91 \text{Reminder: }15
Since 15 is less than 35, stop the division. The reminder is 15. 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}