Evaluate
\frac{110}{57}\approx 1.929824561
Factor
\frac{2 \cdot 5 \cdot 11}{3 \cdot 19} = 1\frac{53}{57} = 1.9298245614035088
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\begin{array}{l}\phantom{114)}\phantom{1}\\114\overline{)220}\\\end{array}
Use the 1^{st} digit 2 from dividend 220
\begin{array}{l}\phantom{114)}0\phantom{2}\\114\overline{)220}\\\end{array}
Since 2 is less than 114, use the next digit 2 from dividend 220 and add 0 to the quotient
\begin{array}{l}\phantom{114)}0\phantom{3}\\114\overline{)220}\\\end{array}
Use the 2^{nd} digit 2 from dividend 220
\begin{array}{l}\phantom{114)}00\phantom{4}\\114\overline{)220}\\\end{array}
Since 22 is less than 114, use the next digit 0 from dividend 220 and add 0 to the quotient
\begin{array}{l}\phantom{114)}00\phantom{5}\\114\overline{)220}\\\end{array}
Use the 3^{rd} digit 0 from dividend 220
\begin{array}{l}\phantom{114)}001\phantom{6}\\114\overline{)220}\\\phantom{114)}\underline{\phantom{}114\phantom{}}\\\phantom{114)}106\\\end{array}
Find closest multiple of 114 to 220. We see that 1 \times 114 = 114 is the nearest. Now subtract 114 from 220 to get reminder 106. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }106
Since 106 is less than 114, stop the division. The reminder is 106. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}