Evaluate
\frac{123}{5}=24.6
Factor
\frac{3 \cdot 41}{5} = 24\frac{3}{5} = 24.6
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)1230}\\\end{array}
Use the 1^{st} digit 1 from dividend 1230
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)1230}\\\end{array}
Since 1 is less than 50, use the next digit 2 from dividend 1230 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)1230}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1230
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)1230}\\\end{array}
Since 12 is less than 50, use the next digit 3 from dividend 1230 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)1230}\\\end{array}
Use the 3^{rd} digit 3 from dividend 1230
\begin{array}{l}\phantom{50)}002\phantom{6}\\50\overline{)1230}\\\phantom{50)}\underline{\phantom{}100\phantom{9}}\\\phantom{50)9}23\\\end{array}
Find closest multiple of 50 to 123. We see that 2 \times 50 = 100 is the nearest. Now subtract 100 from 123 to get reminder 23. Add 2 to quotient.
\begin{array}{l}\phantom{50)}002\phantom{7}\\50\overline{)1230}\\\phantom{50)}\underline{\phantom{}100\phantom{9}}\\\phantom{50)9}230\\\end{array}
Use the 4^{th} digit 0 from dividend 1230
\begin{array}{l}\phantom{50)}0024\phantom{8}\\50\overline{)1230}\\\phantom{50)}\underline{\phantom{}100\phantom{9}}\\\phantom{50)9}230\\\phantom{50)}\underline{\phantom{9}200\phantom{}}\\\phantom{50)99}30\\\end{array}
Find closest multiple of 50 to 230. We see that 4 \times 50 = 200 is the nearest. Now subtract 200 from 230 to get reminder 30. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }30
Since 30 is less than 50, stop the division. The reminder is 30. The topmost line 0024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.
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}