Evaluate
\frac{288}{5}=57.6
Factor
\frac{2 ^ {5} \cdot 3 ^ {2}}{5} = 57\frac{3}{5} = 57.6
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)2880}\\\end{array}
Use the 1^{st} digit 2 from dividend 2880
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)2880}\\\end{array}
Since 2 is less than 50, use the next digit 8 from dividend 2880 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)2880}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2880
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)2880}\\\end{array}
Since 28 is less than 50, use the next digit 8 from dividend 2880 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)2880}\\\end{array}
Use the 3^{rd} digit 8 from dividend 2880
\begin{array}{l}\phantom{50)}005\phantom{6}\\50\overline{)2880}\\\phantom{50)}\underline{\phantom{}250\phantom{9}}\\\phantom{50)9}38\\\end{array}
Find closest multiple of 50 to 288. We see that 5 \times 50 = 250 is the nearest. Now subtract 250 from 288 to get reminder 38. Add 5 to quotient.
\begin{array}{l}\phantom{50)}005\phantom{7}\\50\overline{)2880}\\\phantom{50)}\underline{\phantom{}250\phantom{9}}\\\phantom{50)9}380\\\end{array}
Use the 4^{th} digit 0 from dividend 2880
\begin{array}{l}\phantom{50)}0057\phantom{8}\\50\overline{)2880}\\\phantom{50)}\underline{\phantom{}250\phantom{9}}\\\phantom{50)9}380\\\phantom{50)}\underline{\phantom{9}350\phantom{}}\\\phantom{50)99}30\\\end{array}
Find closest multiple of 50 to 380. We see that 7 \times 50 = 350 is the nearest. Now subtract 350 from 380 to get reminder 30. Add 7 to quotient.
\text{Quotient: }57 \text{Reminder: }30
Since 30 is less than 50, stop the division. The reminder is 30. The topmost line 0057 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 57.
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}