Evaluate
\frac{795}{8}=99.375
Factor
\frac{3 \cdot 5 \cdot 53}{2 ^ {3}} = 99\frac{3}{8} = 99.375
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\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)4770}\\\end{array}
Use the 1^{st} digit 4 from dividend 4770
\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)4770}\\\end{array}
Since 4 is less than 48, use the next digit 7 from dividend 4770 and add 0 to the quotient
\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)4770}\\\end{array}
Use the 2^{nd} digit 7 from dividend 4770
\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)4770}\\\end{array}
Since 47 is less than 48, use the next digit 7 from dividend 4770 and add 0 to the quotient
\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)4770}\\\end{array}
Use the 3^{rd} digit 7 from dividend 4770
\begin{array}{l}\phantom{48)}009\phantom{6}\\48\overline{)4770}\\\phantom{48)}\underline{\phantom{}432\phantom{9}}\\\phantom{48)9}45\\\end{array}
Find closest multiple of 48 to 477. We see that 9 \times 48 = 432 is the nearest. Now subtract 432 from 477 to get reminder 45. Add 9 to quotient.
\begin{array}{l}\phantom{48)}009\phantom{7}\\48\overline{)4770}\\\phantom{48)}\underline{\phantom{}432\phantom{9}}\\\phantom{48)9}450\\\end{array}
Use the 4^{th} digit 0 from dividend 4770
\begin{array}{l}\phantom{48)}0099\phantom{8}\\48\overline{)4770}\\\phantom{48)}\underline{\phantom{}432\phantom{9}}\\\phantom{48)9}450\\\phantom{48)}\underline{\phantom{9}432\phantom{}}\\\phantom{48)99}18\\\end{array}
Find closest multiple of 48 to 450. We see that 9 \times 48 = 432 is the nearest. Now subtract 432 from 450 to get reminder 18. Add 9 to quotient.
\text{Quotient: }99 \text{Reminder: }18
Since 18 is less than 48, stop the division. The reminder is 18. The topmost line 0099 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 99.
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}