Evaluate
\frac{61}{4}=15.25
Factor
\frac{61}{2 ^ {2}} = 15\frac{1}{4} = 15.25
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)915}\\\end{array}
Use the 1^{st} digit 9 from dividend 915
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)915}\\\end{array}
Since 9 is less than 60, use the next digit 1 from dividend 915 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)915}\\\end{array}
Use the 2^{nd} digit 1 from dividend 915
\begin{array}{l}\phantom{60)}01\phantom{4}\\60\overline{)915}\\\phantom{60)}\underline{\phantom{}60\phantom{9}}\\\phantom{60)}31\\\end{array}
Find closest multiple of 60 to 91. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 91 to get reminder 31. Add 1 to quotient.
\begin{array}{l}\phantom{60)}01\phantom{5}\\60\overline{)915}\\\phantom{60)}\underline{\phantom{}60\phantom{9}}\\\phantom{60)}315\\\end{array}
Use the 3^{rd} digit 5 from dividend 915
\begin{array}{l}\phantom{60)}015\phantom{6}\\60\overline{)915}\\\phantom{60)}\underline{\phantom{}60\phantom{9}}\\\phantom{60)}315\\\phantom{60)}\underline{\phantom{}300\phantom{}}\\\phantom{60)9}15\\\end{array}
Find closest multiple of 60 to 315. We see that 5 \times 60 = 300 is the nearest. Now subtract 300 from 315 to get reminder 15. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }15
Since 15 is less than 60, stop the division. The reminder is 15. The topmost line 015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.
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}