Evaluate
\frac{5049}{80}=63.1125
Factor
\frac{3 ^ {3} \cdot 11 \cdot 17}{2 ^ {4} \cdot 5} = 63\frac{9}{80} = 63.1125
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\begin{array}{l}\phantom{80)}\phantom{1}\\80\overline{)5049}\\\end{array}
Use the 1^{st} digit 5 from dividend 5049
\begin{array}{l}\phantom{80)}0\phantom{2}\\80\overline{)5049}\\\end{array}
Since 5 is less than 80, use the next digit 0 from dividend 5049 and add 0 to the quotient
\begin{array}{l}\phantom{80)}0\phantom{3}\\80\overline{)5049}\\\end{array}
Use the 2^{nd} digit 0 from dividend 5049
\begin{array}{l}\phantom{80)}00\phantom{4}\\80\overline{)5049}\\\end{array}
Since 50 is less than 80, use the next digit 4 from dividend 5049 and add 0 to the quotient
\begin{array}{l}\phantom{80)}00\phantom{5}\\80\overline{)5049}\\\end{array}
Use the 3^{rd} digit 4 from dividend 5049
\begin{array}{l}\phantom{80)}006\phantom{6}\\80\overline{)5049}\\\phantom{80)}\underline{\phantom{}480\phantom{9}}\\\phantom{80)9}24\\\end{array}
Find closest multiple of 80 to 504. We see that 6 \times 80 = 480 is the nearest. Now subtract 480 from 504 to get reminder 24. Add 6 to quotient.
\begin{array}{l}\phantom{80)}006\phantom{7}\\80\overline{)5049}\\\phantom{80)}\underline{\phantom{}480\phantom{9}}\\\phantom{80)9}249\\\end{array}
Use the 4^{th} digit 9 from dividend 5049
\begin{array}{l}\phantom{80)}0063\phantom{8}\\80\overline{)5049}\\\phantom{80)}\underline{\phantom{}480\phantom{9}}\\\phantom{80)9}249\\\phantom{80)}\underline{\phantom{9}240\phantom{}}\\\phantom{80)999}9\\\end{array}
Find closest multiple of 80 to 249. We see that 3 \times 80 = 240 is the nearest. Now subtract 240 from 249 to get reminder 9. Add 3 to quotient.
\text{Quotient: }63 \text{Reminder: }9
Since 9 is less than 80, stop the division. The reminder is 9. 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}