Evaluate
64
Factor
2^{6}
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\begin{array}{l}\phantom{108)}\phantom{1}\\108\overline{)6912}\\\end{array}
Use the 1^{st} digit 6 from dividend 6912
\begin{array}{l}\phantom{108)}0\phantom{2}\\108\overline{)6912}\\\end{array}
Since 6 is less than 108, use the next digit 9 from dividend 6912 and add 0 to the quotient
\begin{array}{l}\phantom{108)}0\phantom{3}\\108\overline{)6912}\\\end{array}
Use the 2^{nd} digit 9 from dividend 6912
\begin{array}{l}\phantom{108)}00\phantom{4}\\108\overline{)6912}\\\end{array}
Since 69 is less than 108, use the next digit 1 from dividend 6912 and add 0 to the quotient
\begin{array}{l}\phantom{108)}00\phantom{5}\\108\overline{)6912}\\\end{array}
Use the 3^{rd} digit 1 from dividend 6912
\begin{array}{l}\phantom{108)}006\phantom{6}\\108\overline{)6912}\\\phantom{108)}\underline{\phantom{}648\phantom{9}}\\\phantom{108)9}43\\\end{array}
Find closest multiple of 108 to 691. We see that 6 \times 108 = 648 is the nearest. Now subtract 648 from 691 to get reminder 43. Add 6 to quotient.
\begin{array}{l}\phantom{108)}006\phantom{7}\\108\overline{)6912}\\\phantom{108)}\underline{\phantom{}648\phantom{9}}\\\phantom{108)9}432\\\end{array}
Use the 4^{th} digit 2 from dividend 6912
\begin{array}{l}\phantom{108)}0064\phantom{8}\\108\overline{)6912}\\\phantom{108)}\underline{\phantom{}648\phantom{9}}\\\phantom{108)9}432\\\phantom{108)}\underline{\phantom{9}432\phantom{}}\\\phantom{108)9999}0\\\end{array}
Find closest multiple of 108 to 432. We see that 4 \times 108 = 432 is the nearest. Now subtract 432 from 432 to get reminder 0. Add 4 to quotient.
\text{Quotient: }64 \text{Reminder: }0
Since 0 is less than 108, stop the division. The reminder is 0. The topmost line 0064 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 64.
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}