Evaluate
24
Factor
2^{3}\times 3
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\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)3000}\\\end{array}
Use the 1^{st} digit 3 from dividend 3000
\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)3000}\\\end{array}
Since 3 is less than 125, use the next digit 0 from dividend 3000 and add 0 to the quotient
\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)3000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 3000
\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)3000}\\\end{array}
Since 30 is less than 125, use the next digit 0 from dividend 3000 and add 0 to the quotient
\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)3000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 3000
\begin{array}{l}\phantom{125)}002\phantom{6}\\125\overline{)3000}\\\phantom{125)}\underline{\phantom{}250\phantom{9}}\\\phantom{125)9}50\\\end{array}
Find closest multiple of 125 to 300. We see that 2 \times 125 = 250 is the nearest. Now subtract 250 from 300 to get reminder 50. Add 2 to quotient.
\begin{array}{l}\phantom{125)}002\phantom{7}\\125\overline{)3000}\\\phantom{125)}\underline{\phantom{}250\phantom{9}}\\\phantom{125)9}500\\\end{array}
Use the 4^{th} digit 0 from dividend 3000
\begin{array}{l}\phantom{125)}0024\phantom{8}\\125\overline{)3000}\\\phantom{125)}\underline{\phantom{}250\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: }24 \text{Reminder: }0
Since 0 is less than 125, stop the division. The reminder is 0. The topmost line 0024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.
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}