Evaluate
\frac{950}{3}\approx 316.666666667
Factor
\frac{2 \cdot 5 ^ {2} \cdot 19}{3} = 316\frac{2}{3} = 316.6666666666667
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\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)5700}\\\end{array}
Use the 1^{st} digit 5 from dividend 5700
\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)5700}\\\end{array}
Since 5 is less than 18, use the next digit 7 from dividend 5700 and add 0 to the quotient
\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)5700}\\\end{array}
Use the 2^{nd} digit 7 from dividend 5700
\begin{array}{l}\phantom{18)}03\phantom{4}\\18\overline{)5700}\\\phantom{18)}\underline{\phantom{}54\phantom{99}}\\\phantom{18)9}3\\\end{array}
Find closest multiple of 18 to 57. We see that 3 \times 18 = 54 is the nearest. Now subtract 54 from 57 to get reminder 3. Add 3 to quotient.
\begin{array}{l}\phantom{18)}03\phantom{5}\\18\overline{)5700}\\\phantom{18)}\underline{\phantom{}54\phantom{99}}\\\phantom{18)9}30\\\end{array}
Use the 3^{rd} digit 0 from dividend 5700
\begin{array}{l}\phantom{18)}031\phantom{6}\\18\overline{)5700}\\\phantom{18)}\underline{\phantom{}54\phantom{99}}\\\phantom{18)9}30\\\phantom{18)}\underline{\phantom{9}18\phantom{9}}\\\phantom{18)9}12\\\end{array}
Find closest multiple of 18 to 30. We see that 1 \times 18 = 18 is the nearest. Now subtract 18 from 30 to get reminder 12. Add 1 to quotient.
\begin{array}{l}\phantom{18)}031\phantom{7}\\18\overline{)5700}\\\phantom{18)}\underline{\phantom{}54\phantom{99}}\\\phantom{18)9}30\\\phantom{18)}\underline{\phantom{9}18\phantom{9}}\\\phantom{18)9}120\\\end{array}
Use the 4^{th} digit 0 from dividend 5700
\begin{array}{l}\phantom{18)}0316\phantom{8}\\18\overline{)5700}\\\phantom{18)}\underline{\phantom{}54\phantom{99}}\\\phantom{18)9}30\\\phantom{18)}\underline{\phantom{9}18\phantom{9}}\\\phantom{18)9}120\\\phantom{18)}\underline{\phantom{9}108\phantom{}}\\\phantom{18)99}12\\\end{array}
Find closest multiple of 18 to 120. We see that 6 \times 18 = 108 is the nearest. Now subtract 108 from 120 to get reminder 12. Add 6 to quotient.
\text{Quotient: }316 \text{Reminder: }12
Since 12 is less than 18, stop the division. The reminder is 12. The topmost line 0316 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 316.
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}