Evaluate
\frac{160}{3}\approx 53.333333333
Factor
\frac{2 ^ {5} \cdot 5}{3} = 53\frac{1}{3} = 53.333333333333336
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\begin{array}{l}\phantom{90)}\phantom{1}\\90\overline{)4800}\\\end{array}
Use the 1^{st} digit 4 from dividend 4800
\begin{array}{l}\phantom{90)}0\phantom{2}\\90\overline{)4800}\\\end{array}
Since 4 is less than 90, use the next digit 8 from dividend 4800 and add 0 to the quotient
\begin{array}{l}\phantom{90)}0\phantom{3}\\90\overline{)4800}\\\end{array}
Use the 2^{nd} digit 8 from dividend 4800
\begin{array}{l}\phantom{90)}00\phantom{4}\\90\overline{)4800}\\\end{array}
Since 48 is less than 90, use the next digit 0 from dividend 4800 and add 0 to the quotient
\begin{array}{l}\phantom{90)}00\phantom{5}\\90\overline{)4800}\\\end{array}
Use the 3^{rd} digit 0 from dividend 4800
\begin{array}{l}\phantom{90)}005\phantom{6}\\90\overline{)4800}\\\phantom{90)}\underline{\phantom{}450\phantom{9}}\\\phantom{90)9}30\\\end{array}
Find closest multiple of 90 to 480. We see that 5 \times 90 = 450 is the nearest. Now subtract 450 from 480 to get reminder 30. Add 5 to quotient.
\begin{array}{l}\phantom{90)}005\phantom{7}\\90\overline{)4800}\\\phantom{90)}\underline{\phantom{}450\phantom{9}}\\\phantom{90)9}300\\\end{array}
Use the 4^{th} digit 0 from dividend 4800
\begin{array}{l}\phantom{90)}0053\phantom{8}\\90\overline{)4800}\\\phantom{90)}\underline{\phantom{}450\phantom{9}}\\\phantom{90)9}300\\\phantom{90)}\underline{\phantom{9}270\phantom{}}\\\phantom{90)99}30\\\end{array}
Find closest multiple of 90 to 300. We see that 3 \times 90 = 270 is the nearest. Now subtract 270 from 300 to get reminder 30. Add 3 to quotient.
\text{Quotient: }53 \text{Reminder: }30
Since 30 is less than 90, stop the division. The reminder is 30. The topmost line 0053 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 53.
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}