Evaluate
14
Factor
2\times 7
Share
Copied to clipboard
\begin{array}{l}\phantom{150)}\phantom{1}\\150\overline{)2100}\\\end{array}
Use the 1^{st} digit 2 from dividend 2100
\begin{array}{l}\phantom{150)}0\phantom{2}\\150\overline{)2100}\\\end{array}
Since 2 is less than 150, use the next digit 1 from dividend 2100 and add 0 to the quotient
\begin{array}{l}\phantom{150)}0\phantom{3}\\150\overline{)2100}\\\end{array}
Use the 2^{nd} digit 1 from dividend 2100
\begin{array}{l}\phantom{150)}00\phantom{4}\\150\overline{)2100}\\\end{array}
Since 21 is less than 150, use the next digit 0 from dividend 2100 and add 0 to the quotient
\begin{array}{l}\phantom{150)}00\phantom{5}\\150\overline{)2100}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2100
\begin{array}{l}\phantom{150)}001\phantom{6}\\150\overline{)2100}\\\phantom{150)}\underline{\phantom{}150\phantom{9}}\\\phantom{150)9}60\\\end{array}
Find closest multiple of 150 to 210. We see that 1 \times 150 = 150 is the nearest. Now subtract 150 from 210 to get reminder 60. Add 1 to quotient.
\begin{array}{l}\phantom{150)}001\phantom{7}\\150\overline{)2100}\\\phantom{150)}\underline{\phantom{}150\phantom{9}}\\\phantom{150)9}600\\\end{array}
Use the 4^{th} digit 0 from dividend 2100
\begin{array}{l}\phantom{150)}0014\phantom{8}\\150\overline{)2100}\\\phantom{150)}\underline{\phantom{}150\phantom{9}}\\\phantom{150)9}600\\\phantom{150)}\underline{\phantom{9}600\phantom{}}\\\phantom{150)9999}0\\\end{array}
Find closest multiple of 150 to 600. We see that 4 \times 150 = 600 is the nearest. Now subtract 600 from 600 to get reminder 0. Add 4 to quotient.
\text{Quotient: }14 \text{Reminder: }0
Since 0 is less than 150, stop the division. The reminder is 0. 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}