Evaluate
64
Factor
2^{6}
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\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)8000}\\\end{array}
Use the 1^{st} digit 8 from dividend 8000
\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)8000}\\\end{array}
Since 8 is less than 125, use the next digit 0 from dividend 8000 and add 0 to the quotient
\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)8000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 8000
\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)8000}\\\end{array}
Since 80 is less than 125, use the next digit 0 from dividend 8000 and add 0 to the quotient
\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)8000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 8000
\begin{array}{l}\phantom{125)}006\phantom{6}\\125\overline{)8000}\\\phantom{125)}\underline{\phantom{}750\phantom{9}}\\\phantom{125)9}50\\\end{array}
Find closest multiple of 125 to 800. We see that 6 \times 125 = 750 is the nearest. Now subtract 750 from 800 to get reminder 50. Add 6 to quotient.
\begin{array}{l}\phantom{125)}006\phantom{7}\\125\overline{)8000}\\\phantom{125)}\underline{\phantom{}750\phantom{9}}\\\phantom{125)9}500\\\end{array}
Use the 4^{th} digit 0 from dividend 8000
\begin{array}{l}\phantom{125)}0064\phantom{8}\\125\overline{)8000}\\\phantom{125)}\underline{\phantom{}750\phantom{9}}\\\phantom{125)9}500\\\phantom{125)}\underline{\phantom{9}500\phantom{}}\\\phantom{125)9999}0\\\end{array}
Find closest multiple of 125 to 500. We see that 4 \times 125 = 500 is the nearest. Now subtract 500 from 500 to get reminder 0. Add 4 to quotient.
\text{Quotient: }64 \text{Reminder: }0
Since 0 is less than 125, 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}