Evaluate
\frac{624}{25}=24.96
Factor
\frac{2 ^ {4} \cdot 3 \cdot 13}{5 ^ {2}} = 24\frac{24}{25} = 24.96
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)624}\\\end{array}
Use the 1^{st} digit 6 from dividend 624
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)624}\\\end{array}
Since 6 is less than 25, use the next digit 2 from dividend 624 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)624}\\\end{array}
Use the 2^{nd} digit 2 from dividend 624
\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)624}\\\phantom{25)}\underline{\phantom{}50\phantom{9}}\\\phantom{25)}12\\\end{array}
Find closest multiple of 25 to 62. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 62 to get reminder 12. Add 2 to quotient.
\begin{array}{l}\phantom{25)}02\phantom{5}\\25\overline{)624}\\\phantom{25)}\underline{\phantom{}50\phantom{9}}\\\phantom{25)}124\\\end{array}
Use the 3^{rd} digit 4 from dividend 624
\begin{array}{l}\phantom{25)}024\phantom{6}\\25\overline{)624}\\\phantom{25)}\underline{\phantom{}50\phantom{9}}\\\phantom{25)}124\\\phantom{25)}\underline{\phantom{}100\phantom{}}\\\phantom{25)9}24\\\end{array}
Find closest multiple of 25 to 124. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 124 to get reminder 24. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }24
Since 24 is less than 25, stop the division. The reminder is 24. The topmost line 024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.
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}