Evaluate
\frac{1656}{67}\approx 24.71641791
Factor
\frac{2 ^ {3} \cdot 3 ^ {2} \cdot 23}{67} = 24\frac{48}{67} = 24.71641791044776
Share
Copied to clipboard
\begin{array}{l}\phantom{134)}\phantom{1}\\134\overline{)3312}\\\end{array}
Use the 1^{st} digit 3 from dividend 3312
\begin{array}{l}\phantom{134)}0\phantom{2}\\134\overline{)3312}\\\end{array}
Since 3 is less than 134, use the next digit 3 from dividend 3312 and add 0 to the quotient
\begin{array}{l}\phantom{134)}0\phantom{3}\\134\overline{)3312}\\\end{array}
Use the 2^{nd} digit 3 from dividend 3312
\begin{array}{l}\phantom{134)}00\phantom{4}\\134\overline{)3312}\\\end{array}
Since 33 is less than 134, use the next digit 1 from dividend 3312 and add 0 to the quotient
\begin{array}{l}\phantom{134)}00\phantom{5}\\134\overline{)3312}\\\end{array}
Use the 3^{rd} digit 1 from dividend 3312
\begin{array}{l}\phantom{134)}002\phantom{6}\\134\overline{)3312}\\\phantom{134)}\underline{\phantom{}268\phantom{9}}\\\phantom{134)9}63\\\end{array}
Find closest multiple of 134 to 331. We see that 2 \times 134 = 268 is the nearest. Now subtract 268 from 331 to get reminder 63. Add 2 to quotient.
\begin{array}{l}\phantom{134)}002\phantom{7}\\134\overline{)3312}\\\phantom{134)}\underline{\phantom{}268\phantom{9}}\\\phantom{134)9}632\\\end{array}
Use the 4^{th} digit 2 from dividend 3312
\begin{array}{l}\phantom{134)}0024\phantom{8}\\134\overline{)3312}\\\phantom{134)}\underline{\phantom{}268\phantom{9}}\\\phantom{134)9}632\\\phantom{134)}\underline{\phantom{9}536\phantom{}}\\\phantom{134)99}96\\\end{array}
Find closest multiple of 134 to 632. We see that 4 \times 134 = 536 is the nearest. Now subtract 536 from 632 to get reminder 96. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }96
Since 96 is less than 134, stop the division. The reminder is 96. The topmost line 0024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.
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}