Evaluate
\frac{167}{5}=33.4
Factor
\frac{167}{5} = 33\frac{2}{5} = 33.4
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\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)1336}\\\end{array}
Use the 1^{st} digit 1 from dividend 1336
\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)1336}\\\end{array}
Since 1 is less than 40, use the next digit 3 from dividend 1336 and add 0 to the quotient
\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)1336}\\\end{array}
Use the 2^{nd} digit 3 from dividend 1336
\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)1336}\\\end{array}
Since 13 is less than 40, use the next digit 3 from dividend 1336 and add 0 to the quotient
\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)1336}\\\end{array}
Use the 3^{rd} digit 3 from dividend 1336
\begin{array}{l}\phantom{40)}003\phantom{6}\\40\overline{)1336}\\\phantom{40)}\underline{\phantom{}120\phantom{9}}\\\phantom{40)9}13\\\end{array}
Find closest multiple of 40 to 133. We see that 3 \times 40 = 120 is the nearest. Now subtract 120 from 133 to get reminder 13. Add 3 to quotient.
\begin{array}{l}\phantom{40)}003\phantom{7}\\40\overline{)1336}\\\phantom{40)}\underline{\phantom{}120\phantom{9}}\\\phantom{40)9}136\\\end{array}
Use the 4^{th} digit 6 from dividend 1336
\begin{array}{l}\phantom{40)}0033\phantom{8}\\40\overline{)1336}\\\phantom{40)}\underline{\phantom{}120\phantom{9}}\\\phantom{40)9}136\\\phantom{40)}\underline{\phantom{9}120\phantom{}}\\\phantom{40)99}16\\\end{array}
Find closest multiple of 40 to 136. We see that 3 \times 40 = 120 is the nearest. Now subtract 120 from 136 to get reminder 16. Add 3 to quotient.
\text{Quotient: }33 \text{Reminder: }16
Since 16 is less than 40, stop the division. The reminder is 16. The topmost line 0033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.
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}