Evaluate
64
Factor
2^{6}
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)1600}\\\end{array}
Use the 1^{st} digit 1 from dividend 1600
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)1600}\\\end{array}
Since 1 is less than 25, use the next digit 6 from dividend 1600 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)1600}\\\end{array}
Use the 2^{nd} digit 6 from dividend 1600
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)1600}\\\end{array}
Since 16 is less than 25, use the next digit 0 from dividend 1600 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)1600}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1600
\begin{array}{l}\phantom{25)}006\phantom{6}\\25\overline{)1600}\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}10\\\end{array}
Find closest multiple of 25 to 160. We see that 6 \times 25 = 150 is the nearest. Now subtract 150 from 160 to get reminder 10. Add 6 to quotient.
\begin{array}{l}\phantom{25)}006\phantom{7}\\25\overline{)1600}\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}100\\\end{array}
Use the 4^{th} digit 0 from dividend 1600
\begin{array}{l}\phantom{25)}0064\phantom{8}\\25\overline{)1600}\\\phantom{25)}\underline{\phantom{}150\phantom{9}}\\\phantom{25)9}100\\\phantom{25)}\underline{\phantom{9}100\phantom{}}\\\phantom{25)9999}0\\\end{array}
Find closest multiple of 25 to 100. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 100 to get reminder 0. Add 4 to quotient.
\text{Quotient: }64 \text{Reminder: }0
Since 0 is less than 25, 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}