Evaluate
\frac{59}{4}=14.75
Factor
\frac{59}{2 ^ {2}} = 14\frac{3}{4} = 14.75
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\begin{array}{l}\phantom{120)}\phantom{1}\\120\overline{)1770}\\\end{array}
Use the 1^{st} digit 1 from dividend 1770
\begin{array}{l}\phantom{120)}0\phantom{2}\\120\overline{)1770}\\\end{array}
Since 1 is less than 120, use the next digit 7 from dividend 1770 and add 0 to the quotient
\begin{array}{l}\phantom{120)}0\phantom{3}\\120\overline{)1770}\\\end{array}
Use the 2^{nd} digit 7 from dividend 1770
\begin{array}{l}\phantom{120)}00\phantom{4}\\120\overline{)1770}\\\end{array}
Since 17 is less than 120, use the next digit 7 from dividend 1770 and add 0 to the quotient
\begin{array}{l}\phantom{120)}00\phantom{5}\\120\overline{)1770}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1770
\begin{array}{l}\phantom{120)}001\phantom{6}\\120\overline{)1770}\\\phantom{120)}\underline{\phantom{}120\phantom{9}}\\\phantom{120)9}57\\\end{array}
Find closest multiple of 120 to 177. We see that 1 \times 120 = 120 is the nearest. Now subtract 120 from 177 to get reminder 57. Add 1 to quotient.
\begin{array}{l}\phantom{120)}001\phantom{7}\\120\overline{)1770}\\\phantom{120)}\underline{\phantom{}120\phantom{9}}\\\phantom{120)9}570\\\end{array}
Use the 4^{th} digit 0 from dividend 1770
\begin{array}{l}\phantom{120)}0014\phantom{8}\\120\overline{)1770}\\\phantom{120)}\underline{\phantom{}120\phantom{9}}\\\phantom{120)9}570\\\phantom{120)}\underline{\phantom{9}480\phantom{}}\\\phantom{120)99}90\\\end{array}
Find closest multiple of 120 to 570. We see that 4 \times 120 = 480 is the nearest. Now subtract 480 from 570 to get reminder 90. Add 4 to quotient.
\text{Quotient: }14 \text{Reminder: }90
Since 90 is less than 120, stop the division. The reminder is 90. 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}