Evaluate
\frac{2350}{3}\approx 783.333333333
Factor
\frac{2 \cdot 5 ^ {2} \cdot 47}{3} = 783\frac{1}{3} = 783.3333333333334
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\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)23500}\\\end{array}
Use the 1^{st} digit 2 from dividend 23500
\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)23500}\\\end{array}
Since 2 is less than 30, use the next digit 3 from dividend 23500 and add 0 to the quotient
\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)23500}\\\end{array}
Use the 2^{nd} digit 3 from dividend 23500
\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)23500}\\\end{array}
Since 23 is less than 30, use the next digit 5 from dividend 23500 and add 0 to the quotient
\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)23500}\\\end{array}
Use the 3^{rd} digit 5 from dividend 23500
\begin{array}{l}\phantom{30)}007\phantom{6}\\30\overline{)23500}\\\phantom{30)}\underline{\phantom{}210\phantom{99}}\\\phantom{30)9}25\\\end{array}
Find closest multiple of 30 to 235. We see that 7 \times 30 = 210 is the nearest. Now subtract 210 from 235 to get reminder 25. Add 7 to quotient.
\begin{array}{l}\phantom{30)}007\phantom{7}\\30\overline{)23500}\\\phantom{30)}\underline{\phantom{}210\phantom{99}}\\\phantom{30)9}250\\\end{array}
Use the 4^{th} digit 0 from dividend 23500
\begin{array}{l}\phantom{30)}0078\phantom{8}\\30\overline{)23500}\\\phantom{30)}\underline{\phantom{}210\phantom{99}}\\\phantom{30)9}250\\\phantom{30)}\underline{\phantom{9}240\phantom{9}}\\\phantom{30)99}10\\\end{array}
Find closest multiple of 30 to 250. We see that 8 \times 30 = 240 is the nearest. Now subtract 240 from 250 to get reminder 10. Add 8 to quotient.
\begin{array}{l}\phantom{30)}0078\phantom{9}\\30\overline{)23500}\\\phantom{30)}\underline{\phantom{}210\phantom{99}}\\\phantom{30)9}250\\\phantom{30)}\underline{\phantom{9}240\phantom{9}}\\\phantom{30)99}100\\\end{array}
Use the 5^{th} digit 0 from dividend 23500
\begin{array}{l}\phantom{30)}00783\phantom{10}\\30\overline{)23500}\\\phantom{30)}\underline{\phantom{}210\phantom{99}}\\\phantom{30)9}250\\\phantom{30)}\underline{\phantom{9}240\phantom{9}}\\\phantom{30)99}100\\\phantom{30)}\underline{\phantom{999}90\phantom{}}\\\phantom{30)999}10\\\end{array}
Find closest multiple of 30 to 100. We see that 3 \times 30 = 90 is the nearest. Now subtract 90 from 100 to get reminder 10. Add 3 to quotient.
\text{Quotient: }783 \text{Reminder: }10
Since 10 is less than 30, stop the division. The reminder is 10. The topmost line 00783 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 783.
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}