Evaluate
732
Factor
2^{2}\times 3\times 61
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)10980}\\\end{array}
Use the 1^{st} digit 1 from dividend 10980
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)10980}\\\end{array}
Since 1 is less than 15, use the next digit 0 from dividend 10980 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)10980}\\\end{array}
Use the 2^{nd} digit 0 from dividend 10980
\begin{array}{l}\phantom{15)}00\phantom{4}\\15\overline{)10980}\\\end{array}
Since 10 is less than 15, use the next digit 9 from dividend 10980 and add 0 to the quotient
\begin{array}{l}\phantom{15)}00\phantom{5}\\15\overline{)10980}\\\end{array}
Use the 3^{rd} digit 9 from dividend 10980
\begin{array}{l}\phantom{15)}007\phantom{6}\\15\overline{)10980}\\\phantom{15)}\underline{\phantom{}105\phantom{99}}\\\phantom{15)99}4\\\end{array}
Find closest multiple of 15 to 109. We see that 7 \times 15 = 105 is the nearest. Now subtract 105 from 109 to get reminder 4. Add 7 to quotient.
\begin{array}{l}\phantom{15)}007\phantom{7}\\15\overline{)10980}\\\phantom{15)}\underline{\phantom{}105\phantom{99}}\\\phantom{15)99}48\\\end{array}
Use the 4^{th} digit 8 from dividend 10980
\begin{array}{l}\phantom{15)}0073\phantom{8}\\15\overline{)10980}\\\phantom{15)}\underline{\phantom{}105\phantom{99}}\\\phantom{15)99}48\\\phantom{15)}\underline{\phantom{99}45\phantom{9}}\\\phantom{15)999}3\\\end{array}
Find closest multiple of 15 to 48. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 48 to get reminder 3. Add 3 to quotient.
\begin{array}{l}\phantom{15)}0073\phantom{9}\\15\overline{)10980}\\\phantom{15)}\underline{\phantom{}105\phantom{99}}\\\phantom{15)99}48\\\phantom{15)}\underline{\phantom{99}45\phantom{9}}\\\phantom{15)999}30\\\end{array}
Use the 5^{th} digit 0 from dividend 10980
\begin{array}{l}\phantom{15)}00732\phantom{10}\\15\overline{)10980}\\\phantom{15)}\underline{\phantom{}105\phantom{99}}\\\phantom{15)99}48\\\phantom{15)}\underline{\phantom{99}45\phantom{9}}\\\phantom{15)999}30\\\phantom{15)}\underline{\phantom{999}30\phantom{}}\\\phantom{15)99999}0\\\end{array}
Find closest multiple of 15 to 30. We see that 2 \times 15 = 30 is the nearest. Now subtract 30 from 30 to get reminder 0. Add 2 to quotient.
\text{Quotient: }732 \text{Reminder: }0
Since 0 is less than 15, stop the division. The reminder is 0. The topmost line 00732 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 732.
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}