Evaluate
\frac{4669}{18}\approx 259.388888889
Factor
\frac{7 \cdot 23 \cdot 29}{2 \cdot 3 ^ {2}} = 259\frac{7}{18} = 259.3888888888889
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\begin{array}{l}\phantom{216)}\phantom{1}\\216\overline{)56028}\\\end{array}
Use the 1^{st} digit 5 from dividend 56028
\begin{array}{l}\phantom{216)}0\phantom{2}\\216\overline{)56028}\\\end{array}
Since 5 is less than 216, use the next digit 6 from dividend 56028 and add 0 to the quotient
\begin{array}{l}\phantom{216)}0\phantom{3}\\216\overline{)56028}\\\end{array}
Use the 2^{nd} digit 6 from dividend 56028
\begin{array}{l}\phantom{216)}00\phantom{4}\\216\overline{)56028}\\\end{array}
Since 56 is less than 216, use the next digit 0 from dividend 56028 and add 0 to the quotient
\begin{array}{l}\phantom{216)}00\phantom{5}\\216\overline{)56028}\\\end{array}
Use the 3^{rd} digit 0 from dividend 56028
\begin{array}{l}\phantom{216)}002\phantom{6}\\216\overline{)56028}\\\phantom{216)}\underline{\phantom{}432\phantom{99}}\\\phantom{216)}128\\\end{array}
Find closest multiple of 216 to 560. We see that 2 \times 216 = 432 is the nearest. Now subtract 432 from 560 to get reminder 128. Add 2 to quotient.
\begin{array}{l}\phantom{216)}002\phantom{7}\\216\overline{)56028}\\\phantom{216)}\underline{\phantom{}432\phantom{99}}\\\phantom{216)}1282\\\end{array}
Use the 4^{th} digit 2 from dividend 56028
\begin{array}{l}\phantom{216)}0025\phantom{8}\\216\overline{)56028}\\\phantom{216)}\underline{\phantom{}432\phantom{99}}\\\phantom{216)}1282\\\phantom{216)}\underline{\phantom{}1080\phantom{9}}\\\phantom{216)9}202\\\end{array}
Find closest multiple of 216 to 1282. We see that 5 \times 216 = 1080 is the nearest. Now subtract 1080 from 1282 to get reminder 202. Add 5 to quotient.
\begin{array}{l}\phantom{216)}0025\phantom{9}\\216\overline{)56028}\\\phantom{216)}\underline{\phantom{}432\phantom{99}}\\\phantom{216)}1282\\\phantom{216)}\underline{\phantom{}1080\phantom{9}}\\\phantom{216)9}2028\\\end{array}
Use the 5^{th} digit 8 from dividend 56028
\begin{array}{l}\phantom{216)}00259\phantom{10}\\216\overline{)56028}\\\phantom{216)}\underline{\phantom{}432\phantom{99}}\\\phantom{216)}1282\\\phantom{216)}\underline{\phantom{}1080\phantom{9}}\\\phantom{216)9}2028\\\phantom{216)}\underline{\phantom{9}1944\phantom{}}\\\phantom{216)999}84\\\end{array}
Find closest multiple of 216 to 2028. We see that 9 \times 216 = 1944 is the nearest. Now subtract 1944 from 2028 to get reminder 84. Add 9 to quotient.
\text{Quotient: }259 \text{Reminder: }84
Since 84 is less than 216, stop the division. The reminder is 84. The topmost line 00259 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 259.
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}