Evaluate
\frac{291}{10}=29.1
Factor
\frac{3 \cdot 97}{2 \cdot 5} = 29\frac{1}{10} = 29.1
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\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)1164}\\\end{array}
Use the 1^{st} digit 1 from dividend 1164
\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)1164}\\\end{array}
Since 1 is less than 40, use the next digit 1 from dividend 1164 and add 0 to the quotient
\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)1164}\\\end{array}
Use the 2^{nd} digit 1 from dividend 1164
\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)1164}\\\end{array}
Since 11 is less than 40, use the next digit 6 from dividend 1164 and add 0 to the quotient
\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)1164}\\\end{array}
Use the 3^{rd} digit 6 from dividend 1164
\begin{array}{l}\phantom{40)}002\phantom{6}\\40\overline{)1164}\\\phantom{40)}\underline{\phantom{9}80\phantom{9}}\\\phantom{40)9}36\\\end{array}
Find closest multiple of 40 to 116. We see that 2 \times 40 = 80 is the nearest. Now subtract 80 from 116 to get reminder 36. Add 2 to quotient.
\begin{array}{l}\phantom{40)}002\phantom{7}\\40\overline{)1164}\\\phantom{40)}\underline{\phantom{9}80\phantom{9}}\\\phantom{40)9}364\\\end{array}
Use the 4^{th} digit 4 from dividend 1164
\begin{array}{l}\phantom{40)}0029\phantom{8}\\40\overline{)1164}\\\phantom{40)}\underline{\phantom{9}80\phantom{9}}\\\phantom{40)9}364\\\phantom{40)}\underline{\phantom{9}360\phantom{}}\\\phantom{40)999}4\\\end{array}
Find closest multiple of 40 to 364. We see that 9 \times 40 = 360 is the nearest. Now subtract 360 from 364 to get reminder 4. Add 9 to quotient.
\text{Quotient: }29 \text{Reminder: }4
Since 4 is less than 40, stop the division. The reminder is 4. The topmost line 0029 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29.
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}