Evaluate
\frac{2256}{5}=451.2
Factor
\frac{2 ^ {4} \cdot 3 \cdot 47}{5} = 451\frac{1}{5} = 451.2
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)9024}\\\end{array}
Use the 1^{st} digit 9 from dividend 9024
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)9024}\\\end{array}
Since 9 is less than 20, use the next digit 0 from dividend 9024 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)9024}\\\end{array}
Use the 2^{nd} digit 0 from dividend 9024
\begin{array}{l}\phantom{20)}04\phantom{4}\\20\overline{)9024}\\\phantom{20)}\underline{\phantom{}80\phantom{99}}\\\phantom{20)}10\\\end{array}
Find closest multiple of 20 to 90. We see that 4 \times 20 = 80 is the nearest. Now subtract 80 from 90 to get reminder 10. Add 4 to quotient.
\begin{array}{l}\phantom{20)}04\phantom{5}\\20\overline{)9024}\\\phantom{20)}\underline{\phantom{}80\phantom{99}}\\\phantom{20)}102\\\end{array}
Use the 3^{rd} digit 2 from dividend 9024
\begin{array}{l}\phantom{20)}045\phantom{6}\\20\overline{)9024}\\\phantom{20)}\underline{\phantom{}80\phantom{99}}\\\phantom{20)}102\\\phantom{20)}\underline{\phantom{}100\phantom{9}}\\\phantom{20)99}2\\\end{array}
Find closest multiple of 20 to 102. We see that 5 \times 20 = 100 is the nearest. Now subtract 100 from 102 to get reminder 2. Add 5 to quotient.
\begin{array}{l}\phantom{20)}045\phantom{7}\\20\overline{)9024}\\\phantom{20)}\underline{\phantom{}80\phantom{99}}\\\phantom{20)}102\\\phantom{20)}\underline{\phantom{}100\phantom{9}}\\\phantom{20)99}24\\\end{array}
Use the 4^{th} digit 4 from dividend 9024
\begin{array}{l}\phantom{20)}0451\phantom{8}\\20\overline{)9024}\\\phantom{20)}\underline{\phantom{}80\phantom{99}}\\\phantom{20)}102\\\phantom{20)}\underline{\phantom{}100\phantom{9}}\\\phantom{20)99}24\\\phantom{20)}\underline{\phantom{99}20\phantom{}}\\\phantom{20)999}4\\\end{array}
Find closest multiple of 20 to 24. We see that 1 \times 20 = 20 is the nearest. Now subtract 20 from 24 to get reminder 4. Add 1 to quotient.
\text{Quotient: }451 \text{Reminder: }4
Since 4 is less than 20, stop the division. The reminder is 4. The topmost line 0451 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 451.
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}