Evaluate
\frac{113}{30}\approx 3.766666667
Factor
\frac{113}{2 \cdot 3 \cdot 5} = 3\frac{23}{30} = 3.7666666666666666
Share
Copied to clipboard
\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)113}\\\end{array}
Use the 1^{st} digit 1 from dividend 113
\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)113}\\\end{array}
Since 1 is less than 30, use the next digit 1 from dividend 113 and add 0 to the quotient
\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)113}\\\end{array}
Use the 2^{nd} digit 1 from dividend 113
\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)113}\\\end{array}
Since 11 is less than 30, use the next digit 3 from dividend 113 and add 0 to the quotient
\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)113}\\\end{array}
Use the 3^{rd} digit 3 from dividend 113
\begin{array}{l}\phantom{30)}003\phantom{6}\\30\overline{)113}\\\phantom{30)}\underline{\phantom{9}90\phantom{}}\\\phantom{30)9}23\\\end{array}
Find closest multiple of 30 to 113. We see that 3 \times 30 = 90 is the nearest. Now subtract 90 from 113 to get reminder 23. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }23
Since 23 is less than 30, stop the division. The reminder is 23. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}