Evaluate
\frac{588}{5}=117.6
Factor
\frac{2 ^ {2} \cdot 3 \cdot 7 ^ {2}}{5} = 117\frac{3}{5} = 117.6
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\begin{array}{l}\phantom{500)}\phantom{1}\\500\overline{)58800}\\\end{array}
Use the 1^{st} digit 5 from dividend 58800
\begin{array}{l}\phantom{500)}0\phantom{2}\\500\overline{)58800}\\\end{array}
Since 5 is less than 500, use the next digit 8 from dividend 58800 and add 0 to the quotient
\begin{array}{l}\phantom{500)}0\phantom{3}\\500\overline{)58800}\\\end{array}
Use the 2^{nd} digit 8 from dividend 58800
\begin{array}{l}\phantom{500)}00\phantom{4}\\500\overline{)58800}\\\end{array}
Since 58 is less than 500, use the next digit 8 from dividend 58800 and add 0 to the quotient
\begin{array}{l}\phantom{500)}00\phantom{5}\\500\overline{)58800}\\\end{array}
Use the 3^{rd} digit 8 from dividend 58800
\begin{array}{l}\phantom{500)}001\phantom{6}\\500\overline{)58800}\\\phantom{500)}\underline{\phantom{}500\phantom{99}}\\\phantom{500)9}88\\\end{array}
Find closest multiple of 500 to 588. We see that 1 \times 500 = 500 is the nearest. Now subtract 500 from 588 to get reminder 88. Add 1 to quotient.
\begin{array}{l}\phantom{500)}001\phantom{7}\\500\overline{)58800}\\\phantom{500)}\underline{\phantom{}500\phantom{99}}\\\phantom{500)9}880\\\end{array}
Use the 4^{th} digit 0 from dividend 58800
\begin{array}{l}\phantom{500)}0011\phantom{8}\\500\overline{)58800}\\\phantom{500)}\underline{\phantom{}500\phantom{99}}\\\phantom{500)9}880\\\phantom{500)}\underline{\phantom{9}500\phantom{9}}\\\phantom{500)9}380\\\end{array}
Find closest multiple of 500 to 880. We see that 1 \times 500 = 500 is the nearest. Now subtract 500 from 880 to get reminder 380. Add 1 to quotient.
\begin{array}{l}\phantom{500)}0011\phantom{9}\\500\overline{)58800}\\\phantom{500)}\underline{\phantom{}500\phantom{99}}\\\phantom{500)9}880\\\phantom{500)}\underline{\phantom{9}500\phantom{9}}\\\phantom{500)9}3800\\\end{array}
Use the 5^{th} digit 0 from dividend 58800
\begin{array}{l}\phantom{500)}00117\phantom{10}\\500\overline{)58800}\\\phantom{500)}\underline{\phantom{}500\phantom{99}}\\\phantom{500)9}880\\\phantom{500)}\underline{\phantom{9}500\phantom{9}}\\\phantom{500)9}3800\\\phantom{500)}\underline{\phantom{9}3500\phantom{}}\\\phantom{500)99}300\\\end{array}
Find closest multiple of 500 to 3800. We see that 7 \times 500 = 3500 is the nearest. Now subtract 3500 from 3800 to get reminder 300. Add 7 to quotient.
\text{Quotient: }117 \text{Reminder: }300
Since 300 is less than 500, stop the division. The reminder is 300. The topmost line 00117 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 117.
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}