Evaluate
\frac{1181}{80}=14.7625
Factor
\frac{1181}{2 ^ {4} \cdot 5} = 14\frac{61}{80} = 14.7625
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\begin{array}{l}\phantom{160)}\phantom{1}\\160\overline{)2362}\\\end{array}
Use the 1^{st} digit 2 from dividend 2362
\begin{array}{l}\phantom{160)}0\phantom{2}\\160\overline{)2362}\\\end{array}
Since 2 is less than 160, use the next digit 3 from dividend 2362 and add 0 to the quotient
\begin{array}{l}\phantom{160)}0\phantom{3}\\160\overline{)2362}\\\end{array}
Use the 2^{nd} digit 3 from dividend 2362
\begin{array}{l}\phantom{160)}00\phantom{4}\\160\overline{)2362}\\\end{array}
Since 23 is less than 160, use the next digit 6 from dividend 2362 and add 0 to the quotient
\begin{array}{l}\phantom{160)}00\phantom{5}\\160\overline{)2362}\\\end{array}
Use the 3^{rd} digit 6 from dividend 2362
\begin{array}{l}\phantom{160)}001\phantom{6}\\160\overline{)2362}\\\phantom{160)}\underline{\phantom{}160\phantom{9}}\\\phantom{160)9}76\\\end{array}
Find closest multiple of 160 to 236. We see that 1 \times 160 = 160 is the nearest. Now subtract 160 from 236 to get reminder 76. Add 1 to quotient.
\begin{array}{l}\phantom{160)}001\phantom{7}\\160\overline{)2362}\\\phantom{160)}\underline{\phantom{}160\phantom{9}}\\\phantom{160)9}762\\\end{array}
Use the 4^{th} digit 2 from dividend 2362
\begin{array}{l}\phantom{160)}0014\phantom{8}\\160\overline{)2362}\\\phantom{160)}\underline{\phantom{}160\phantom{9}}\\\phantom{160)9}762\\\phantom{160)}\underline{\phantom{9}640\phantom{}}\\\phantom{160)9}122\\\end{array}
Find closest multiple of 160 to 762. We see that 4 \times 160 = 640 is the nearest. Now subtract 640 from 762 to get reminder 122. Add 4 to quotient.
\text{Quotient: }14 \text{Reminder: }122
Since 122 is less than 160, stop the division. The reminder is 122. 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}