Evaluate
\frac{332}{15}\approx 22.133333333
Factor
\frac{2 ^ {2} \cdot 83}{3 \cdot 5} = 22\frac{2}{15} = 22.133333333333333
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\begin{array}{l}\phantom{150)}\phantom{1}\\150\overline{)3320}\\\end{array}
Use the 1^{st} digit 3 from dividend 3320
\begin{array}{l}\phantom{150)}0\phantom{2}\\150\overline{)3320}\\\end{array}
Since 3 is less than 150, use the next digit 3 from dividend 3320 and add 0 to the quotient
\begin{array}{l}\phantom{150)}0\phantom{3}\\150\overline{)3320}\\\end{array}
Use the 2^{nd} digit 3 from dividend 3320
\begin{array}{l}\phantom{150)}00\phantom{4}\\150\overline{)3320}\\\end{array}
Since 33 is less than 150, use the next digit 2 from dividend 3320 and add 0 to the quotient
\begin{array}{l}\phantom{150)}00\phantom{5}\\150\overline{)3320}\\\end{array}
Use the 3^{rd} digit 2 from dividend 3320
\begin{array}{l}\phantom{150)}002\phantom{6}\\150\overline{)3320}\\\phantom{150)}\underline{\phantom{}300\phantom{9}}\\\phantom{150)9}32\\\end{array}
Find closest multiple of 150 to 332. We see that 2 \times 150 = 300 is the nearest. Now subtract 300 from 332 to get reminder 32. Add 2 to quotient.
\begin{array}{l}\phantom{150)}002\phantom{7}\\150\overline{)3320}\\\phantom{150)}\underline{\phantom{}300\phantom{9}}\\\phantom{150)9}320\\\end{array}
Use the 4^{th} digit 0 from dividend 3320
\begin{array}{l}\phantom{150)}0022\phantom{8}\\150\overline{)3320}\\\phantom{150)}\underline{\phantom{}300\phantom{9}}\\\phantom{150)9}320\\\phantom{150)}\underline{\phantom{9}300\phantom{}}\\\phantom{150)99}20\\\end{array}
Find closest multiple of 150 to 320. We see that 2 \times 150 = 300 is the nearest. Now subtract 300 from 320 to get reminder 20. Add 2 to quotient.
\text{Quotient: }22 \text{Reminder: }20
Since 20 is less than 150, stop the division. The reminder is 20. The topmost line 0022 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22.
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}