Evaluate
\frac{1940}{21}\approx 92.380952381
Factor
\frac{2 ^ {2} \cdot 5 \cdot 97}{3 \cdot 7} = 92\frac{8}{21} = 92.38095238095238
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\begin{array}{l}\phantom{63)}\phantom{1}\\63\overline{)5820}\\\end{array}
Use the 1^{st} digit 5 from dividend 5820
\begin{array}{l}\phantom{63)}0\phantom{2}\\63\overline{)5820}\\\end{array}
Since 5 is less than 63, use the next digit 8 from dividend 5820 and add 0 to the quotient
\begin{array}{l}\phantom{63)}0\phantom{3}\\63\overline{)5820}\\\end{array}
Use the 2^{nd} digit 8 from dividend 5820
\begin{array}{l}\phantom{63)}00\phantom{4}\\63\overline{)5820}\\\end{array}
Since 58 is less than 63, use the next digit 2 from dividend 5820 and add 0 to the quotient
\begin{array}{l}\phantom{63)}00\phantom{5}\\63\overline{)5820}\\\end{array}
Use the 3^{rd} digit 2 from dividend 5820
\begin{array}{l}\phantom{63)}009\phantom{6}\\63\overline{)5820}\\\phantom{63)}\underline{\phantom{}567\phantom{9}}\\\phantom{63)9}15\\\end{array}
Find closest multiple of 63 to 582. We see that 9 \times 63 = 567 is the nearest. Now subtract 567 from 582 to get reminder 15. Add 9 to quotient.
\begin{array}{l}\phantom{63)}009\phantom{7}\\63\overline{)5820}\\\phantom{63)}\underline{\phantom{}567\phantom{9}}\\\phantom{63)9}150\\\end{array}
Use the 4^{th} digit 0 from dividend 5820
\begin{array}{l}\phantom{63)}0092\phantom{8}\\63\overline{)5820}\\\phantom{63)}\underline{\phantom{}567\phantom{9}}\\\phantom{63)9}150\\\phantom{63)}\underline{\phantom{9}126\phantom{}}\\\phantom{63)99}24\\\end{array}
Find closest multiple of 63 to 150. We see that 2 \times 63 = 126 is the nearest. Now subtract 126 from 150 to get reminder 24. Add 2 to quotient.
\text{Quotient: }92 \text{Reminder: }24
Since 24 is less than 63, stop the division. The reminder is 24. The topmost line 0092 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 92.
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}