Evaluate
\frac{6250}{653}\approx 9.571209801
Factor
\frac{2 \cdot 5 ^ {5}}{653} = 9\frac{373}{653} = 9.571209800918837
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\begin{array}{l}\phantom{2612)}\phantom{1}\\2612\overline{)25000}\\\end{array}
Use the 1^{st} digit 2 from dividend 25000
\begin{array}{l}\phantom{2612)}0\phantom{2}\\2612\overline{)25000}\\\end{array}
Since 2 is less than 2612, use the next digit 5 from dividend 25000 and add 0 to the quotient
\begin{array}{l}\phantom{2612)}0\phantom{3}\\2612\overline{)25000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 25000
\begin{array}{l}\phantom{2612)}00\phantom{4}\\2612\overline{)25000}\\\end{array}
Since 25 is less than 2612, use the next digit 0 from dividend 25000 and add 0 to the quotient
\begin{array}{l}\phantom{2612)}00\phantom{5}\\2612\overline{)25000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 25000
\begin{array}{l}\phantom{2612)}000\phantom{6}\\2612\overline{)25000}\\\end{array}
Since 250 is less than 2612, use the next digit 0 from dividend 25000 and add 0 to the quotient
\begin{array}{l}\phantom{2612)}000\phantom{7}\\2612\overline{)25000}\\\end{array}
Use the 4^{th} digit 0 from dividend 25000
\begin{array}{l}\phantom{2612)}0000\phantom{8}\\2612\overline{)25000}\\\end{array}
Since 2500 is less than 2612, use the next digit 0 from dividend 25000 and add 0 to the quotient
\begin{array}{l}\phantom{2612)}0000\phantom{9}\\2612\overline{)25000}\\\end{array}
Use the 5^{th} digit 0 from dividend 25000
\begin{array}{l}\phantom{2612)}00009\phantom{10}\\2612\overline{)25000}\\\phantom{2612)}\underline{\phantom{}23508\phantom{}}\\\phantom{2612)9}1492\\\end{array}
Find closest multiple of 2612 to 25000. We see that 9 \times 2612 = 23508 is the nearest. Now subtract 23508 from 25000 to get reminder 1492. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }1492
Since 1492 is less than 2612, stop the division. The reminder is 1492. The topmost line 00009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}