Evaluate
\frac{2099}{25}=83.96
Factor
\frac{2099}{5 ^ {2}} = 83\frac{24}{25} = 83.96
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\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)6297}\\\end{array}
Use the 1^{st} digit 6 from dividend 6297
\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)6297}\\\end{array}
Since 6 is less than 75, use the next digit 2 from dividend 6297 and add 0 to the quotient
\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)6297}\\\end{array}
Use the 2^{nd} digit 2 from dividend 6297
\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)6297}\\\end{array}
Since 62 is less than 75, use the next digit 9 from dividend 6297 and add 0 to the quotient
\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)6297}\\\end{array}
Use the 3^{rd} digit 9 from dividend 6297
\begin{array}{l}\phantom{75)}008\phantom{6}\\75\overline{)6297}\\\phantom{75)}\underline{\phantom{}600\phantom{9}}\\\phantom{75)9}29\\\end{array}
Find closest multiple of 75 to 629. We see that 8 \times 75 = 600 is the nearest. Now subtract 600 from 629 to get reminder 29. Add 8 to quotient.
\begin{array}{l}\phantom{75)}008\phantom{7}\\75\overline{)6297}\\\phantom{75)}\underline{\phantom{}600\phantom{9}}\\\phantom{75)9}297\\\end{array}
Use the 4^{th} digit 7 from dividend 6297
\begin{array}{l}\phantom{75)}0083\phantom{8}\\75\overline{)6297}\\\phantom{75)}\underline{\phantom{}600\phantom{9}}\\\phantom{75)9}297\\\phantom{75)}\underline{\phantom{9}225\phantom{}}\\\phantom{75)99}72\\\end{array}
Find closest multiple of 75 to 297. We see that 3 \times 75 = 225 is the nearest. Now subtract 225 from 297 to get reminder 72. Add 3 to quotient.
\text{Quotient: }83 \text{Reminder: }72
Since 72 is less than 75, stop the division. The reminder is 72. The topmost line 0083 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 83.
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}