Evaluate
\frac{96797}{48}\approx 2016.604166667
Factor
\frac{96797}{2 ^ {4} \cdot 3} = 2016\frac{29}{48} = 2016.6041666666667
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\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)96797}\\\end{array}
Use the 1^{st} digit 9 from dividend 96797
\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)96797}\\\end{array}
Since 9 is less than 48, use the next digit 6 from dividend 96797 and add 0 to the quotient
\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)96797}\\\end{array}
Use the 2^{nd} digit 6 from dividend 96797
\begin{array}{l}\phantom{48)}02\phantom{4}\\48\overline{)96797}\\\phantom{48)}\underline{\phantom{}96\phantom{999}}\\\phantom{48)99}0\\\end{array}
Find closest multiple of 48 to 96. We see that 2 \times 48 = 96 is the nearest. Now subtract 96 from 96 to get reminder 0. Add 2 to quotient.
\begin{array}{l}\phantom{48)}02\phantom{5}\\48\overline{)96797}\\\phantom{48)}\underline{\phantom{}96\phantom{999}}\\\phantom{48)99}7\\\end{array}
Use the 3^{rd} digit 7 from dividend 96797
\begin{array}{l}\phantom{48)}020\phantom{6}\\48\overline{)96797}\\\phantom{48)}\underline{\phantom{}96\phantom{999}}\\\phantom{48)99}7\\\end{array}
Since 7 is less than 48, use the next digit 9 from dividend 96797 and add 0 to the quotient
\begin{array}{l}\phantom{48)}020\phantom{7}\\48\overline{)96797}\\\phantom{48)}\underline{\phantom{}96\phantom{999}}\\\phantom{48)99}79\\\end{array}
Use the 4^{th} digit 9 from dividend 96797
\begin{array}{l}\phantom{48)}0201\phantom{8}\\48\overline{)96797}\\\phantom{48)}\underline{\phantom{}96\phantom{999}}\\\phantom{48)99}79\\\phantom{48)}\underline{\phantom{99}48\phantom{9}}\\\phantom{48)99}31\\\end{array}
Find closest multiple of 48 to 79. We see that 1 \times 48 = 48 is the nearest. Now subtract 48 from 79 to get reminder 31. Add 1 to quotient.
\begin{array}{l}\phantom{48)}0201\phantom{9}\\48\overline{)96797}\\\phantom{48)}\underline{\phantom{}96\phantom{999}}\\\phantom{48)99}79\\\phantom{48)}\underline{\phantom{99}48\phantom{9}}\\\phantom{48)99}317\\\end{array}
Use the 5^{th} digit 7 from dividend 96797
\begin{array}{l}\phantom{48)}02016\phantom{10}\\48\overline{)96797}\\\phantom{48)}\underline{\phantom{}96\phantom{999}}\\\phantom{48)99}79\\\phantom{48)}\underline{\phantom{99}48\phantom{9}}\\\phantom{48)99}317\\\phantom{48)}\underline{\phantom{99}288\phantom{}}\\\phantom{48)999}29\\\end{array}
Find closest multiple of 48 to 317. We see that 6 \times 48 = 288 is the nearest. Now subtract 288 from 317 to get reminder 29. Add 6 to quotient.
\text{Quotient: }2016 \text{Reminder: }29
Since 29 is less than 48, stop the division. The reminder is 29. The topmost line 02016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2016.
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}