Evaluate
\frac{295}{6}\approx 49.166666667
Factor
\frac{5 \cdot 59}{2 \cdot 3} = 49\frac{1}{6} = 49.166666666666664
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\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)2360}\\\end{array}
Use the 1^{st} digit 2 from dividend 2360
\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)2360}\\\end{array}
Since 2 is less than 48, use the next digit 3 from dividend 2360 and add 0 to the quotient
\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)2360}\\\end{array}
Use the 2^{nd} digit 3 from dividend 2360
\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)2360}\\\end{array}
Since 23 is less than 48, use the next digit 6 from dividend 2360 and add 0 to the quotient
\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)2360}\\\end{array}
Use the 3^{rd} digit 6 from dividend 2360
\begin{array}{l}\phantom{48)}004\phantom{6}\\48\overline{)2360}\\\phantom{48)}\underline{\phantom{}192\phantom{9}}\\\phantom{48)9}44\\\end{array}
Find closest multiple of 48 to 236. We see that 4 \times 48 = 192 is the nearest. Now subtract 192 from 236 to get reminder 44. Add 4 to quotient.
\begin{array}{l}\phantom{48)}004\phantom{7}\\48\overline{)2360}\\\phantom{48)}\underline{\phantom{}192\phantom{9}}\\\phantom{48)9}440\\\end{array}
Use the 4^{th} digit 0 from dividend 2360
\begin{array}{l}\phantom{48)}0049\phantom{8}\\48\overline{)2360}\\\phantom{48)}\underline{\phantom{}192\phantom{9}}\\\phantom{48)9}440\\\phantom{48)}\underline{\phantom{9}432\phantom{}}\\\phantom{48)999}8\\\end{array}
Find closest multiple of 48 to 440. We see that 9 \times 48 = 432 is the nearest. Now subtract 432 from 440 to get reminder 8. Add 9 to quotient.
\text{Quotient: }49 \text{Reminder: }8
Since 8 is less than 48, stop the division. The reminder is 8. The topmost line 0049 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 49.
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}