Evaluate
\frac{784}{25}=31.36
Factor
\frac{2 ^ {4} \cdot 7 ^ {2}}{5 ^ {2}} = 31\frac{9}{25} = 31.36
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)1568}\\\end{array}
Use the 1^{st} digit 1 from dividend 1568
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)1568}\\\end{array}
Since 1 is less than 50, use the next digit 5 from dividend 1568 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)1568}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1568
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)1568}\\\end{array}
Since 15 is less than 50, use the next digit 6 from dividend 1568 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)1568}\\\end{array}
Use the 3^{rd} digit 6 from dividend 1568
\begin{array}{l}\phantom{50)}003\phantom{6}\\50\overline{)1568}\\\phantom{50)}\underline{\phantom{}150\phantom{9}}\\\phantom{50)99}6\\\end{array}
Find closest multiple of 50 to 156. We see that 3 \times 50 = 150 is the nearest. Now subtract 150 from 156 to get reminder 6. Add 3 to quotient.
\begin{array}{l}\phantom{50)}003\phantom{7}\\50\overline{)1568}\\\phantom{50)}\underline{\phantom{}150\phantom{9}}\\\phantom{50)99}68\\\end{array}
Use the 4^{th} digit 8 from dividend 1568
\begin{array}{l}\phantom{50)}0031\phantom{8}\\50\overline{)1568}\\\phantom{50)}\underline{\phantom{}150\phantom{9}}\\\phantom{50)99}68\\\phantom{50)}\underline{\phantom{99}50\phantom{}}\\\phantom{50)99}18\\\end{array}
Find closest multiple of 50 to 68. We see that 1 \times 50 = 50 is the nearest. Now subtract 50 from 68 to get reminder 18. Add 1 to quotient.
\text{Quotient: }31 \text{Reminder: }18
Since 18 is less than 50, stop the division. The reminder is 18. The topmost line 0031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.
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}