Evaluate
\frac{74}{5}=14.8
Factor
\frac{2 \cdot 37}{5} = 14\frac{4}{5} = 14.8
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\begin{array}{l}\phantom{150)}\phantom{1}\\150\overline{)2220}\\\end{array}
Use the 1^{st} digit 2 from dividend 2220
\begin{array}{l}\phantom{150)}0\phantom{2}\\150\overline{)2220}\\\end{array}
Since 2 is less than 150, use the next digit 2 from dividend 2220 and add 0 to the quotient
\begin{array}{l}\phantom{150)}0\phantom{3}\\150\overline{)2220}\\\end{array}
Use the 2^{nd} digit 2 from dividend 2220
\begin{array}{l}\phantom{150)}00\phantom{4}\\150\overline{)2220}\\\end{array}
Since 22 is less than 150, use the next digit 2 from dividend 2220 and add 0 to the quotient
\begin{array}{l}\phantom{150)}00\phantom{5}\\150\overline{)2220}\\\end{array}
Use the 3^{rd} digit 2 from dividend 2220
\begin{array}{l}\phantom{150)}001\phantom{6}\\150\overline{)2220}\\\phantom{150)}\underline{\phantom{}150\phantom{9}}\\\phantom{150)9}72\\\end{array}
Find closest multiple of 150 to 222. We see that 1 \times 150 = 150 is the nearest. Now subtract 150 from 222 to get reminder 72. Add 1 to quotient.
\begin{array}{l}\phantom{150)}001\phantom{7}\\150\overline{)2220}\\\phantom{150)}\underline{\phantom{}150\phantom{9}}\\\phantom{150)9}720\\\end{array}
Use the 4^{th} digit 0 from dividend 2220
\begin{array}{l}\phantom{150)}0014\phantom{8}\\150\overline{)2220}\\\phantom{150)}\underline{\phantom{}150\phantom{9}}\\\phantom{150)9}720\\\phantom{150)}\underline{\phantom{9}600\phantom{}}\\\phantom{150)9}120\\\end{array}
Find closest multiple of 150 to 720. We see that 4 \times 150 = 600 is the nearest. Now subtract 600 from 720 to get reminder 120. Add 4 to quotient.
\text{Quotient: }14 \text{Reminder: }120
Since 120 is less than 150, stop the division. The reminder is 120. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.
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}