Evaluate
21
Factor
3\times 7
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\begin{array}{l}\phantom{352)}\phantom{1}\\352\overline{)7392}\\\end{array}
Use the 1^{st} digit 7 from dividend 7392
\begin{array}{l}\phantom{352)}0\phantom{2}\\352\overline{)7392}\\\end{array}
Since 7 is less than 352, use the next digit 3 from dividend 7392 and add 0 to the quotient
\begin{array}{l}\phantom{352)}0\phantom{3}\\352\overline{)7392}\\\end{array}
Use the 2^{nd} digit 3 from dividend 7392
\begin{array}{l}\phantom{352)}00\phantom{4}\\352\overline{)7392}\\\end{array}
Since 73 is less than 352, use the next digit 9 from dividend 7392 and add 0 to the quotient
\begin{array}{l}\phantom{352)}00\phantom{5}\\352\overline{)7392}\\\end{array}
Use the 3^{rd} digit 9 from dividend 7392
\begin{array}{l}\phantom{352)}002\phantom{6}\\352\overline{)7392}\\\phantom{352)}\underline{\phantom{}704\phantom{9}}\\\phantom{352)9}35\\\end{array}
Find closest multiple of 352 to 739. We see that 2 \times 352 = 704 is the nearest. Now subtract 704 from 739 to get reminder 35. Add 2 to quotient.
\begin{array}{l}\phantom{352)}002\phantom{7}\\352\overline{)7392}\\\phantom{352)}\underline{\phantom{}704\phantom{9}}\\\phantom{352)9}352\\\end{array}
Use the 4^{th} digit 2 from dividend 7392
\begin{array}{l}\phantom{352)}0021\phantom{8}\\352\overline{)7392}\\\phantom{352)}\underline{\phantom{}704\phantom{9}}\\\phantom{352)9}352\\\phantom{352)}\underline{\phantom{9}352\phantom{}}\\\phantom{352)9999}0\\\end{array}
Find closest multiple of 352 to 352. We see that 1 \times 352 = 352 is the nearest. Now subtract 352 from 352 to get reminder 0. Add 1 to quotient.
\text{Quotient: }21 \text{Reminder: }0
Since 0 is less than 352, stop the division. The reminder is 0. 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}