Evaluate
\frac{919}{4}=229.75
Factor
\frac{919}{2 ^ {2}} = 229\frac{3}{4} = 229.75
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\begin{array}{l}\phantom{160)}\phantom{1}\\160\overline{)36760}\\\end{array}
Use the 1^{st} digit 3 from dividend 36760
\begin{array}{l}\phantom{160)}0\phantom{2}\\160\overline{)36760}\\\end{array}
Since 3 is less than 160, use the next digit 6 from dividend 36760 and add 0 to the quotient
\begin{array}{l}\phantom{160)}0\phantom{3}\\160\overline{)36760}\\\end{array}
Use the 2^{nd} digit 6 from dividend 36760
\begin{array}{l}\phantom{160)}00\phantom{4}\\160\overline{)36760}\\\end{array}
Since 36 is less than 160, use the next digit 7 from dividend 36760 and add 0 to the quotient
\begin{array}{l}\phantom{160)}00\phantom{5}\\160\overline{)36760}\\\end{array}
Use the 3^{rd} digit 7 from dividend 36760
\begin{array}{l}\phantom{160)}002\phantom{6}\\160\overline{)36760}\\\phantom{160)}\underline{\phantom{}320\phantom{99}}\\\phantom{160)9}47\\\end{array}
Find closest multiple of 160 to 367. We see that 2 \times 160 = 320 is the nearest. Now subtract 320 from 367 to get reminder 47. Add 2 to quotient.
\begin{array}{l}\phantom{160)}002\phantom{7}\\160\overline{)36760}\\\phantom{160)}\underline{\phantom{}320\phantom{99}}\\\phantom{160)9}476\\\end{array}
Use the 4^{th} digit 6 from dividend 36760
\begin{array}{l}\phantom{160)}0022\phantom{8}\\160\overline{)36760}\\\phantom{160)}\underline{\phantom{}320\phantom{99}}\\\phantom{160)9}476\\\phantom{160)}\underline{\phantom{9}320\phantom{9}}\\\phantom{160)9}156\\\end{array}
Find closest multiple of 160 to 476. We see that 2 \times 160 = 320 is the nearest. Now subtract 320 from 476 to get reminder 156. Add 2 to quotient.
\begin{array}{l}\phantom{160)}0022\phantom{9}\\160\overline{)36760}\\\phantom{160)}\underline{\phantom{}320\phantom{99}}\\\phantom{160)9}476\\\phantom{160)}\underline{\phantom{9}320\phantom{9}}\\\phantom{160)9}1560\\\end{array}
Use the 5^{th} digit 0 from dividend 36760
\begin{array}{l}\phantom{160)}00229\phantom{10}\\160\overline{)36760}\\\phantom{160)}\underline{\phantom{}320\phantom{99}}\\\phantom{160)9}476\\\phantom{160)}\underline{\phantom{9}320\phantom{9}}\\\phantom{160)9}1560\\\phantom{160)}\underline{\phantom{9}1440\phantom{}}\\\phantom{160)99}120\\\end{array}
Find closest multiple of 160 to 1560. We see that 9 \times 160 = 1440 is the nearest. Now subtract 1440 from 1560 to get reminder 120. Add 9 to quotient.
\text{Quotient: }229 \text{Reminder: }120
Since 120 is less than 160, stop the division. The reminder is 120. The topmost line 00229 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 229.
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}