Evaluate
\frac{1210}{21}\approx 57.619047619
Factor
\frac{2 \cdot 5 \cdot 11 ^ {2}}{3 \cdot 7} = 57\frac{13}{21} = 57.61904761904762
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\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)1210}\\\end{array}
Use the 1^{st} digit 1 from dividend 1210
\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)1210}\\\end{array}
Since 1 is less than 21, use the next digit 2 from dividend 1210 and add 0 to the quotient
\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)1210}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1210
\begin{array}{l}\phantom{21)}00\phantom{4}\\21\overline{)1210}\\\end{array}
Since 12 is less than 21, use the next digit 1 from dividend 1210 and add 0 to the quotient
\begin{array}{l}\phantom{21)}00\phantom{5}\\21\overline{)1210}\\\end{array}
Use the 3^{rd} digit 1 from dividend 1210
\begin{array}{l}\phantom{21)}005\phantom{6}\\21\overline{)1210}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}16\\\end{array}
Find closest multiple of 21 to 121. We see that 5 \times 21 = 105 is the nearest. Now subtract 105 from 121 to get reminder 16. Add 5 to quotient.
\begin{array}{l}\phantom{21)}005\phantom{7}\\21\overline{)1210}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}160\\\end{array}
Use the 4^{th} digit 0 from dividend 1210
\begin{array}{l}\phantom{21)}0057\phantom{8}\\21\overline{)1210}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}160\\\phantom{21)}\underline{\phantom{9}147\phantom{}}\\\phantom{21)99}13\\\end{array}
Find closest multiple of 21 to 160. We see that 7 \times 21 = 147 is the nearest. Now subtract 147 from 160 to get reminder 13. Add 7 to quotient.
\text{Quotient: }57 \text{Reminder: }13
Since 13 is less than 21, stop the division. The reminder is 13. The topmost line 0057 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 57.
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}