Evaluate
\frac{127}{2}=63.5
Factor
\frac{127}{2} = 63\frac{1}{2} = 63.5
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\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)3048}\\\end{array}
Use the 1^{st} digit 3 from dividend 3048
\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)3048}\\\end{array}
Since 3 is less than 48, use the next digit 0 from dividend 3048 and add 0 to the quotient
\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)3048}\\\end{array}
Use the 2^{nd} digit 0 from dividend 3048
\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)3048}\\\end{array}
Since 30 is less than 48, use the next digit 4 from dividend 3048 and add 0 to the quotient
\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)3048}\\\end{array}
Use the 3^{rd} digit 4 from dividend 3048
\begin{array}{l}\phantom{48)}006\phantom{6}\\48\overline{)3048}\\\phantom{48)}\underline{\phantom{}288\phantom{9}}\\\phantom{48)9}16\\\end{array}
Find closest multiple of 48 to 304. We see that 6 \times 48 = 288 is the nearest. Now subtract 288 from 304 to get reminder 16. Add 6 to quotient.
\begin{array}{l}\phantom{48)}006\phantom{7}\\48\overline{)3048}\\\phantom{48)}\underline{\phantom{}288\phantom{9}}\\\phantom{48)9}168\\\end{array}
Use the 4^{th} digit 8 from dividend 3048
\begin{array}{l}\phantom{48)}0063\phantom{8}\\48\overline{)3048}\\\phantom{48)}\underline{\phantom{}288\phantom{9}}\\\phantom{48)9}168\\\phantom{48)}\underline{\phantom{9}144\phantom{}}\\\phantom{48)99}24\\\end{array}
Find closest multiple of 48 to 168. We see that 3 \times 48 = 144 is the nearest. Now subtract 144 from 168 to get reminder 24. Add 3 to quotient.
\text{Quotient: }63 \text{Reminder: }24
Since 24 is less than 48, stop the division. The reminder is 24. The topmost line 0063 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 63.
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}