Evaluate
24
Factor
2^{3}\times 3
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\begin{array}{l}\phantom{250)}\phantom{1}\\250\overline{)6000}\\\end{array}
Use the 1^{st} digit 6 from dividend 6000
\begin{array}{l}\phantom{250)}0\phantom{2}\\250\overline{)6000}\\\end{array}
Since 6 is less than 250, use the next digit 0 from dividend 6000 and add 0 to the quotient
\begin{array}{l}\phantom{250)}0\phantom{3}\\250\overline{)6000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 6000
\begin{array}{l}\phantom{250)}00\phantom{4}\\250\overline{)6000}\\\end{array}
Since 60 is less than 250, use the next digit 0 from dividend 6000 and add 0 to the quotient
\begin{array}{l}\phantom{250)}00\phantom{5}\\250\overline{)6000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 6000
\begin{array}{l}\phantom{250)}002\phantom{6}\\250\overline{)6000}\\\phantom{250)}\underline{\phantom{}500\phantom{9}}\\\phantom{250)}100\\\end{array}
Find closest multiple of 250 to 600. We see that 2 \times 250 = 500 is the nearest. Now subtract 500 from 600 to get reminder 100. Add 2 to quotient.
\begin{array}{l}\phantom{250)}002\phantom{7}\\250\overline{)6000}\\\phantom{250)}\underline{\phantom{}500\phantom{9}}\\\phantom{250)}1000\\\end{array}
Use the 4^{th} digit 0 from dividend 6000
\begin{array}{l}\phantom{250)}0024\phantom{8}\\250\overline{)6000}\\\phantom{250)}\underline{\phantom{}500\phantom{9}}\\\phantom{250)}1000\\\phantom{250)}\underline{\phantom{}1000\phantom{}}\\\phantom{250)9999}0\\\end{array}
Find closest multiple of 250 to 1000. We see that 4 \times 250 = 1000 is the nearest. Now subtract 1000 from 1000 to get reminder 0. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }0
Since 0 is less than 250, 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}