Evaluate
\frac{9835}{48}\approx 204.895833333
Factor
\frac{5 \cdot 7 \cdot 281}{2 ^ {4} \cdot 3} = 204\frac{43}{48} = 204.89583333333334
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\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)9835}\\\end{array}
Use the 1^{st} digit 9 from dividend 9835
\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)9835}\\\end{array}
Since 9 is less than 48, use the next digit 8 from dividend 9835 and add 0 to the quotient
\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)9835}\\\end{array}
Use the 2^{nd} digit 8 from dividend 9835
\begin{array}{l}\phantom{48)}02\phantom{4}\\48\overline{)9835}\\\phantom{48)}\underline{\phantom{}96\phantom{99}}\\\phantom{48)9}2\\\end{array}
Find closest multiple of 48 to 98. We see that 2 \times 48 = 96 is the nearest. Now subtract 96 from 98 to get reminder 2. Add 2 to quotient.
\begin{array}{l}\phantom{48)}02\phantom{5}\\48\overline{)9835}\\\phantom{48)}\underline{\phantom{}96\phantom{99}}\\\phantom{48)9}23\\\end{array}
Use the 3^{rd} digit 3 from dividend 9835
\begin{array}{l}\phantom{48)}020\phantom{6}\\48\overline{)9835}\\\phantom{48)}\underline{\phantom{}96\phantom{99}}\\\phantom{48)9}23\\\end{array}
Since 23 is less than 48, use the next digit 5 from dividend 9835 and add 0 to the quotient
\begin{array}{l}\phantom{48)}020\phantom{7}\\48\overline{)9835}\\\phantom{48)}\underline{\phantom{}96\phantom{99}}\\\phantom{48)9}235\\\end{array}
Use the 4^{th} digit 5 from dividend 9835
\begin{array}{l}\phantom{48)}0204\phantom{8}\\48\overline{)9835}\\\phantom{48)}\underline{\phantom{}96\phantom{99}}\\\phantom{48)9}235\\\phantom{48)}\underline{\phantom{9}192\phantom{}}\\\phantom{48)99}43\\\end{array}
Find closest multiple of 48 to 235. We see that 4 \times 48 = 192 is the nearest. Now subtract 192 from 235 to get reminder 43. Add 4 to quotient.
\text{Quotient: }204 \text{Reminder: }43
Since 43 is less than 48, stop the division. The reminder is 43. The topmost line 0204 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 204.
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}