Evaluate
8
Factor
2^{3}
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\begin{array}{l}\phantom{150)}\phantom{1}\\150\overline{)1200}\\\end{array}
Use the 1^{st} digit 1 from dividend 1200
\begin{array}{l}\phantom{150)}0\phantom{2}\\150\overline{)1200}\\\end{array}
Since 1 is less than 150, use the next digit 2 from dividend 1200 and add 0 to the quotient
\begin{array}{l}\phantom{150)}0\phantom{3}\\150\overline{)1200}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1200
\begin{array}{l}\phantom{150)}00\phantom{4}\\150\overline{)1200}\\\end{array}
Since 12 is less than 150, use the next digit 0 from dividend 1200 and add 0 to the quotient
\begin{array}{l}\phantom{150)}00\phantom{5}\\150\overline{)1200}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1200
\begin{array}{l}\phantom{150)}000\phantom{6}\\150\overline{)1200}\\\end{array}
Since 120 is less than 150, use the next digit 0 from dividend 1200 and add 0 to the quotient
\begin{array}{l}\phantom{150)}000\phantom{7}\\150\overline{)1200}\\\end{array}
Use the 4^{th} digit 0 from dividend 1200
\begin{array}{l}\phantom{150)}0008\phantom{8}\\150\overline{)1200}\\\phantom{150)}\underline{\phantom{}1200\phantom{}}\\\phantom{150)9999}0\\\end{array}
Find closest multiple of 150 to 1200. We see that 8 \times 150 = 1200 is the nearest. Now subtract 1200 from 1200 to get reminder 0. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }0
Since 0 is less than 150, stop the division. The reminder is 0. The topmost line 0008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
Examples
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{ 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}