Evaluate
\frac{250}{3}\approx 83.333333333
Factor
\frac{2 \cdot 5 ^ {3}}{3} = 83\frac{1}{3} = 83.33333333333333
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1000}\\\end{array}
Use the 1^{st} digit 1 from dividend 1000
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1000}\\\end{array}
Since 1 is less than 12, use the next digit 0 from dividend 1000 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 1000
\begin{array}{l}\phantom{12)}00\phantom{4}\\12\overline{)1000}\\\end{array}
Since 10 is less than 12, use the next digit 0 from dividend 1000 and add 0 to the quotient
\begin{array}{l}\phantom{12)}00\phantom{5}\\12\overline{)1000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1000
\begin{array}{l}\phantom{12)}008\phantom{6}\\12\overline{)1000}\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}4\\\end{array}
Find closest multiple of 12 to 100. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 100 to get reminder 4. Add 8 to quotient.
\begin{array}{l}\phantom{12)}008\phantom{7}\\12\overline{)1000}\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}40\\\end{array}
Use the 4^{th} digit 0 from dividend 1000
\begin{array}{l}\phantom{12)}0083\phantom{8}\\12\overline{)1000}\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}40\\\phantom{12)}\underline{\phantom{99}36\phantom{}}\\\phantom{12)999}4\\\end{array}
Find closest multiple of 12 to 40. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 40 to get reminder 4. Add 3 to quotient.
\text{Quotient: }83 \text{Reminder: }4
Since 4 is less than 12, stop the division. The reminder is 4. The topmost line 0083 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 83.
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}