Evaluate
32
Factor
2^{5}
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\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)1792}\\\end{array}
Use the 1^{st} digit 1 from dividend 1792
\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)1792}\\\end{array}
Since 1 is less than 56, use the next digit 7 from dividend 1792 and add 0 to the quotient
\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)1792}\\\end{array}
Use the 2^{nd} digit 7 from dividend 1792
\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)1792}\\\end{array}
Since 17 is less than 56, use the next digit 9 from dividend 1792 and add 0 to the quotient
\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)1792}\\\end{array}
Use the 3^{rd} digit 9 from dividend 1792
\begin{array}{l}\phantom{56)}003\phantom{6}\\56\overline{)1792}\\\phantom{56)}\underline{\phantom{}168\phantom{9}}\\\phantom{56)9}11\\\end{array}
Find closest multiple of 56 to 179. We see that 3 \times 56 = 168 is the nearest. Now subtract 168 from 179 to get reminder 11. Add 3 to quotient.
\begin{array}{l}\phantom{56)}003\phantom{7}\\56\overline{)1792}\\\phantom{56)}\underline{\phantom{}168\phantom{9}}\\\phantom{56)9}112\\\end{array}
Use the 4^{th} digit 2 from dividend 1792
\begin{array}{l}\phantom{56)}0032\phantom{8}\\56\overline{)1792}\\\phantom{56)}\underline{\phantom{}168\phantom{9}}\\\phantom{56)9}112\\\phantom{56)}\underline{\phantom{9}112\phantom{}}\\\phantom{56)9999}0\\\end{array}
Find closest multiple of 56 to 112. We see that 2 \times 56 = 112 is the nearest. Now subtract 112 from 112 to get reminder 0. Add 2 to quotient.
\text{Quotient: }32 \text{Reminder: }0
Since 0 is less than 56, stop the division. The reminder is 0. The topmost line 0032 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 32.
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}