Evaluate
\frac{567}{20}=28.35
Factor
\frac{3 ^ {4} \cdot 7}{2 ^ {2} \cdot 5} = 28\frac{7}{20} = 28.35
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1701}\\\end{array}
Use the 1^{st} digit 1 from dividend 1701
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1701}\\\end{array}
Since 1 is less than 60, use the next digit 7 from dividend 1701 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1701}\\\end{array}
Use the 2^{nd} digit 7 from dividend 1701
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1701}\\\end{array}
Since 17 is less than 60, use the next digit 0 from dividend 1701 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1701}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1701
\begin{array}{l}\phantom{60)}002\phantom{6}\\60\overline{)1701}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}50\\\end{array}
Find closest multiple of 60 to 170. We see that 2 \times 60 = 120 is the nearest. Now subtract 120 from 170 to get reminder 50. Add 2 to quotient.
\begin{array}{l}\phantom{60)}002\phantom{7}\\60\overline{)1701}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}501\\\end{array}
Use the 4^{th} digit 1 from dividend 1701
\begin{array}{l}\phantom{60)}0028\phantom{8}\\60\overline{)1701}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}501\\\phantom{60)}\underline{\phantom{9}480\phantom{}}\\\phantom{60)99}21\\\end{array}
Find closest multiple of 60 to 501. We see that 8 \times 60 = 480 is the nearest. Now subtract 480 from 501 to get reminder 21. Add 8 to quotient.
\text{Quotient: }28 \text{Reminder: }21
Since 21 is less than 60, stop the division. The reminder is 21. The topmost line 0028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.
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}