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{34)}\phantom{1}\\34\overline{)1071}\\\end{array}
Use the 1^{st} digit 1 from dividend 1071
\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)1071}\\\end{array}
Since 1 is less than 34, use the next digit 0 from dividend 1071 and add 0 to the quotient
\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)1071}\\\end{array}
Use the 2^{nd} digit 0 from dividend 1071
\begin{array}{l}\phantom{34)}00\phantom{4}\\34\overline{)1071}\\\end{array}
Since 10 is less than 34, use the next digit 7 from dividend 1071 and add 0 to the quotient
\begin{array}{l}\phantom{34)}00\phantom{5}\\34\overline{)1071}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1071
\begin{array}{l}\phantom{34)}003\phantom{6}\\34\overline{)1071}\\\phantom{34)}\underline{\phantom{}102\phantom{9}}\\\phantom{34)99}5\\\end{array}
Find closest multiple of 34 to 107. We see that 3 \times 34 = 102 is the nearest. Now subtract 102 from 107 to get reminder 5. Add 3 to quotient.
\begin{array}{l}\phantom{34)}003\phantom{7}\\34\overline{)1071}\\\phantom{34)}\underline{\phantom{}102\phantom{9}}\\\phantom{34)99}51\\\end{array}
Use the 4^{th} digit 1 from dividend 1071
\begin{array}{l}\phantom{34)}0031\phantom{8}\\34\overline{)1071}\\\phantom{34)}\underline{\phantom{}102\phantom{9}}\\\phantom{34)99}51\\\phantom{34)}\underline{\phantom{99}34\phantom{}}\\\phantom{34)99}17\\\end{array}
Find closest multiple of 34 to 51. We see that 1 \times 34 = 34 is the nearest. Now subtract 34 from 51 to get reminder 17. Add 1 to quotient.
\text{Quotient: }31 \text{Reminder: }17
Since 17 is less than 34, stop the division. The reminder is 17. 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}