Evaluate
\frac{12226}{25}=489.04
Factor
\frac{2 \cdot 6113}{5 ^ {2}} = 489\frac{1}{25} = 489.04
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)48904}\\\end{array}
Use the 1^{st} digit 4 from dividend 48904
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)48904}\\\end{array}
Since 4 is less than 100, use the next digit 8 from dividend 48904 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)48904}\\\end{array}
Use the 2^{nd} digit 8 from dividend 48904
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)48904}\\\end{array}
Since 48 is less than 100, use the next digit 9 from dividend 48904 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)48904}\\\end{array}
Use the 3^{rd} digit 9 from dividend 48904
\begin{array}{l}\phantom{100)}004\phantom{6}\\100\overline{)48904}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}89\\\end{array}
Find closest multiple of 100 to 489. We see that 4 \times 100 = 400 is the nearest. Now subtract 400 from 489 to get reminder 89. Add 4 to quotient.
\begin{array}{l}\phantom{100)}004\phantom{7}\\100\overline{)48904}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}890\\\end{array}
Use the 4^{th} digit 0 from dividend 48904
\begin{array}{l}\phantom{100)}0048\phantom{8}\\100\overline{)48904}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}890\\\phantom{100)}\underline{\phantom{9}800\phantom{9}}\\\phantom{100)99}90\\\end{array}
Find closest multiple of 100 to 890. We see that 8 \times 100 = 800 is the nearest. Now subtract 800 from 890 to get reminder 90. Add 8 to quotient.
\begin{array}{l}\phantom{100)}0048\phantom{9}\\100\overline{)48904}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}890\\\phantom{100)}\underline{\phantom{9}800\phantom{9}}\\\phantom{100)99}904\\\end{array}
Use the 5^{th} digit 4 from dividend 48904
\begin{array}{l}\phantom{100)}00489\phantom{10}\\100\overline{)48904}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}890\\\phantom{100)}\underline{\phantom{9}800\phantom{9}}\\\phantom{100)99}904\\\phantom{100)}\underline{\phantom{99}900\phantom{}}\\\phantom{100)9999}4\\\end{array}
Find closest multiple of 100 to 904. We see that 9 \times 100 = 900 is the nearest. Now subtract 900 from 904 to get reminder 4. Add 9 to quotient.
\text{Quotient: }489 \text{Reminder: }4
Since 4 is less than 100, stop the division. The reminder is 4. The topmost line 00489 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 489.
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}