Evaluate
\frac{2321}{107}\approx 21.691588785
Factor
\frac{11 \cdot 211}{107} = 21\frac{74}{107} = 21.69158878504673
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\begin{array}{l}\phantom{107)}\phantom{1}\\107\overline{)2321}\\\end{array}
Use the 1^{st} digit 2 from dividend 2321
\begin{array}{l}\phantom{107)}0\phantom{2}\\107\overline{)2321}\\\end{array}
Since 2 is less than 107, use the next digit 3 from dividend 2321 and add 0 to the quotient
\begin{array}{l}\phantom{107)}0\phantom{3}\\107\overline{)2321}\\\end{array}
Use the 2^{nd} digit 3 from dividend 2321
\begin{array}{l}\phantom{107)}00\phantom{4}\\107\overline{)2321}\\\end{array}
Since 23 is less than 107, use the next digit 2 from dividend 2321 and add 0 to the quotient
\begin{array}{l}\phantom{107)}00\phantom{5}\\107\overline{)2321}\\\end{array}
Use the 3^{rd} digit 2 from dividend 2321
\begin{array}{l}\phantom{107)}002\phantom{6}\\107\overline{)2321}\\\phantom{107)}\underline{\phantom{}214\phantom{9}}\\\phantom{107)9}18\\\end{array}
Find closest multiple of 107 to 232. We see that 2 \times 107 = 214 is the nearest. Now subtract 214 from 232 to get reminder 18. Add 2 to quotient.
\begin{array}{l}\phantom{107)}002\phantom{7}\\107\overline{)2321}\\\phantom{107)}\underline{\phantom{}214\phantom{9}}\\\phantom{107)9}181\\\end{array}
Use the 4^{th} digit 1 from dividend 2321
\begin{array}{l}\phantom{107)}0021\phantom{8}\\107\overline{)2321}\\\phantom{107)}\underline{\phantom{}214\phantom{9}}\\\phantom{107)9}181\\\phantom{107)}\underline{\phantom{9}107\phantom{}}\\\phantom{107)99}74\\\end{array}
Find closest multiple of 107 to 181. We see that 1 \times 107 = 107 is the nearest. Now subtract 107 from 181 to get reminder 74. Add 1 to quotient.
\text{Quotient: }21 \text{Reminder: }74
Since 74 is less than 107, stop the division. The reminder is 74. The topmost line 0021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.
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}