Evaluate
\frac{567}{100}=5.67
Factor
\frac{3 ^ {4} \cdot 7}{2 ^ {2} \cdot 5 ^ {2}} = 5\frac{67}{100} = 5.67
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)567}\\\end{array}
Use the 1^{st} digit 5 from dividend 567
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)567}\\\end{array}
Since 5 is less than 100, use the next digit 6 from dividend 567 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)567}\\\end{array}
Use the 2^{nd} digit 6 from dividend 567
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)567}\\\end{array}
Since 56 is less than 100, use the next digit 7 from dividend 567 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)567}\\\end{array}
Use the 3^{rd} digit 7 from dividend 567
\begin{array}{l}\phantom{100)}005\phantom{6}\\100\overline{)567}\\\phantom{100)}\underline{\phantom{}500\phantom{}}\\\phantom{100)9}67\\\end{array}
Find closest multiple of 100 to 567. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 567 to get reminder 67. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }67
Since 67 is less than 100, stop the division. The reminder is 67. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}