Evaluate
\frac{5220}{97}\approx 53.81443299
Factor
\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 5 \cdot 29}{97} = 53\frac{79}{97} = 53.81443298969072
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\begin{array}{l}\phantom{97)}\phantom{1}\\97\overline{)5220}\\\end{array}
Use the 1^{st} digit 5 from dividend 5220
\begin{array}{l}\phantom{97)}0\phantom{2}\\97\overline{)5220}\\\end{array}
Since 5 is less than 97, use the next digit 2 from dividend 5220 and add 0 to the quotient
\begin{array}{l}\phantom{97)}0\phantom{3}\\97\overline{)5220}\\\end{array}
Use the 2^{nd} digit 2 from dividend 5220
\begin{array}{l}\phantom{97)}00\phantom{4}\\97\overline{)5220}\\\end{array}
Since 52 is less than 97, use the next digit 2 from dividend 5220 and add 0 to the quotient
\begin{array}{l}\phantom{97)}00\phantom{5}\\97\overline{)5220}\\\end{array}
Use the 3^{rd} digit 2 from dividend 5220
\begin{array}{l}\phantom{97)}005\phantom{6}\\97\overline{)5220}\\\phantom{97)}\underline{\phantom{}485\phantom{9}}\\\phantom{97)9}37\\\end{array}
Find closest multiple of 97 to 522. We see that 5 \times 97 = 485 is the nearest. Now subtract 485 from 522 to get reminder 37. Add 5 to quotient.
\begin{array}{l}\phantom{97)}005\phantom{7}\\97\overline{)5220}\\\phantom{97)}\underline{\phantom{}485\phantom{9}}\\\phantom{97)9}370\\\end{array}
Use the 4^{th} digit 0 from dividend 5220
\begin{array}{l}\phantom{97)}0053\phantom{8}\\97\overline{)5220}\\\phantom{97)}\underline{\phantom{}485\phantom{9}}\\\phantom{97)9}370\\\phantom{97)}\underline{\phantom{9}291\phantom{}}\\\phantom{97)99}79\\\end{array}
Find closest multiple of 97 to 370. We see that 3 \times 97 = 291 is the nearest. Now subtract 291 from 370 to get reminder 79. Add 3 to quotient.
\text{Quotient: }53 \text{Reminder: }79
Since 79 is less than 97, stop the division. The reminder is 79. The topmost line 0053 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 53.
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}