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{15)}\phantom{1}\\15\overline{)1250}\\\end{array}
Use the 1^{st} digit 1 from dividend 1250
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)1250}\\\end{array}
Since 1 is less than 15, use the next digit 2 from dividend 1250 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)1250}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1250
\begin{array}{l}\phantom{15)}00\phantom{4}\\15\overline{)1250}\\\end{array}
Since 12 is less than 15, use the next digit 5 from dividend 1250 and add 0 to the quotient
\begin{array}{l}\phantom{15)}00\phantom{5}\\15\overline{)1250}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1250
\begin{array}{l}\phantom{15)}008\phantom{6}\\15\overline{)1250}\\\phantom{15)}\underline{\phantom{}120\phantom{9}}\\\phantom{15)99}5\\\end{array}
Find closest multiple of 15 to 125. We see that 8 \times 15 = 120 is the nearest. Now subtract 120 from 125 to get reminder 5. Add 8 to quotient.
\begin{array}{l}\phantom{15)}008\phantom{7}\\15\overline{)1250}\\\phantom{15)}\underline{\phantom{}120\phantom{9}}\\\phantom{15)99}50\\\end{array}
Use the 4^{th} digit 0 from dividend 1250
\begin{array}{l}\phantom{15)}0083\phantom{8}\\15\overline{)1250}\\\phantom{15)}\underline{\phantom{}120\phantom{9}}\\\phantom{15)99}50\\\phantom{15)}\underline{\phantom{99}45\phantom{}}\\\phantom{15)999}5\\\end{array}
Find closest multiple of 15 to 50. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 50 to get reminder 5. Add 3 to quotient.
\text{Quotient: }83 \text{Reminder: }5
Since 5 is less than 15, stop the division. The reminder is 5. 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}