Evaluate
\frac{1323}{25}=52.92
Factor
\frac{3 ^ {3} \cdot 7 ^ {2}}{5 ^ {2}} = 52\frac{23}{25} = 52.92
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)1323}\\\end{array}
Use the 1^{st} digit 1 from dividend 1323
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)1323}\\\end{array}
Since 1 is less than 25, use the next digit 3 from dividend 1323 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)1323}\\\end{array}
Use the 2^{nd} digit 3 from dividend 1323
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)1323}\\\end{array}
Since 13 is less than 25, use the next digit 2 from dividend 1323 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)1323}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1323
\begin{array}{l}\phantom{25)}005\phantom{6}\\25\overline{)1323}\\\phantom{25)}\underline{\phantom{}125\phantom{9}}\\\phantom{25)99}7\\\end{array}
Find closest multiple of 25 to 132. We see that 5 \times 25 = 125 is the nearest. Now subtract 125 from 132 to get reminder 7. Add 5 to quotient.
\begin{array}{l}\phantom{25)}005\phantom{7}\\25\overline{)1323}\\\phantom{25)}\underline{\phantom{}125\phantom{9}}\\\phantom{25)99}73\\\end{array}
Use the 4^{th} digit 3 from dividend 1323
\begin{array}{l}\phantom{25)}0052\phantom{8}\\25\overline{)1323}\\\phantom{25)}\underline{\phantom{}125\phantom{9}}\\\phantom{25)99}73\\\phantom{25)}\underline{\phantom{99}50\phantom{}}\\\phantom{25)99}23\\\end{array}
Find closest multiple of 25 to 73. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 73 to get reminder 23. Add 2 to quotient.
\text{Quotient: }52 \text{Reminder: }23
Since 23 is less than 25, stop the division. The reminder is 23. The topmost line 0052 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 52.
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}