Evaluate
16
Factor
2^{4}
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\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)2000}\\\end{array}
Use the 1^{st} digit 2 from dividend 2000
\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)2000}\\\end{array}
Since 2 is less than 125, use the next digit 0 from dividend 2000 and add 0 to the quotient
\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)2000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 2000
\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)2000}\\\end{array}
Since 20 is less than 125, use the next digit 0 from dividend 2000 and add 0 to the quotient
\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)2000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2000
\begin{array}{l}\phantom{125)}001\phantom{6}\\125\overline{)2000}\\\phantom{125)}\underline{\phantom{}125\phantom{9}}\\\phantom{125)9}75\\\end{array}
Find closest multiple of 125 to 200. We see that 1 \times 125 = 125 is the nearest. Now subtract 125 from 200 to get reminder 75. Add 1 to quotient.
\begin{array}{l}\phantom{125)}001\phantom{7}\\125\overline{)2000}\\\phantom{125)}\underline{\phantom{}125\phantom{9}}\\\phantom{125)9}750\\\end{array}
Use the 4^{th} digit 0 from dividend 2000
\begin{array}{l}\phantom{125)}0016\phantom{8}\\125\overline{)2000}\\\phantom{125)}\underline{\phantom{}125\phantom{9}}\\\phantom{125)9}750\\\phantom{125)}\underline{\phantom{9}750\phantom{}}\\\phantom{125)9999}0\\\end{array}
Find closest multiple of 125 to 750. We see that 6 \times 125 = 750 is the nearest. Now subtract 750 from 750 to get reminder 0. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }0
Since 0 is less than 125, stop the division. The reminder is 0. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
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}