Evaluate
\frac{63}{2}=31.5
Factor
\frac{3 ^ {2} \cdot 7}{2} = 31\frac{1}{2} = 31.5
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\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)1260}\\\end{array}
Use the 1^{st} digit 1 from dividend 1260
\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)1260}\\\end{array}
Since 1 is less than 40, use the next digit 2 from dividend 1260 and add 0 to the quotient
\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)1260}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1260
\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)1260}\\\end{array}
Since 12 is less than 40, use the next digit 6 from dividend 1260 and add 0 to the quotient
\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)1260}\\\end{array}
Use the 3^{rd} digit 6 from dividend 1260
\begin{array}{l}\phantom{40)}003\phantom{6}\\40\overline{)1260}\\\phantom{40)}\underline{\phantom{}120\phantom{9}}\\\phantom{40)99}6\\\end{array}
Find closest multiple of 40 to 126. We see that 3 \times 40 = 120 is the nearest. Now subtract 120 from 126 to get reminder 6. Add 3 to quotient.
\begin{array}{l}\phantom{40)}003\phantom{7}\\40\overline{)1260}\\\phantom{40)}\underline{\phantom{}120\phantom{9}}\\\phantom{40)99}60\\\end{array}
Use the 4^{th} digit 0 from dividend 1260
\begin{array}{l}\phantom{40)}0031\phantom{8}\\40\overline{)1260}\\\phantom{40)}\underline{\phantom{}120\phantom{9}}\\\phantom{40)99}60\\\phantom{40)}\underline{\phantom{99}40\phantom{}}\\\phantom{40)99}20\\\end{array}
Find closest multiple of 40 to 60. We see that 1 \times 40 = 40 is the nearest. Now subtract 40 from 60 to get reminder 20. Add 1 to quotient.
\text{Quotient: }31 \text{Reminder: }20
Since 20 is less than 40, stop the division. The reminder is 20. The topmost line 0031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.
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}