Evaluate
15
Factor
3\times 5
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\begin{array}{l}\phantom{240)}\phantom{1}\\240\overline{)3600}\\\end{array}
Use the 1^{st} digit 3 from dividend 3600
\begin{array}{l}\phantom{240)}0\phantom{2}\\240\overline{)3600}\\\end{array}
Since 3 is less than 240, use the next digit 6 from dividend 3600 and add 0 to the quotient
\begin{array}{l}\phantom{240)}0\phantom{3}\\240\overline{)3600}\\\end{array}
Use the 2^{nd} digit 6 from dividend 3600
\begin{array}{l}\phantom{240)}00\phantom{4}\\240\overline{)3600}\\\end{array}
Since 36 is less than 240, use the next digit 0 from dividend 3600 and add 0 to the quotient
\begin{array}{l}\phantom{240)}00\phantom{5}\\240\overline{)3600}\\\end{array}
Use the 3^{rd} digit 0 from dividend 3600
\begin{array}{l}\phantom{240)}001\phantom{6}\\240\overline{)3600}\\\phantom{240)}\underline{\phantom{}240\phantom{9}}\\\phantom{240)}120\\\end{array}
Find closest multiple of 240 to 360. We see that 1 \times 240 = 240 is the nearest. Now subtract 240 from 360 to get reminder 120. Add 1 to quotient.
\begin{array}{l}\phantom{240)}001\phantom{7}\\240\overline{)3600}\\\phantom{240)}\underline{\phantom{}240\phantom{9}}\\\phantom{240)}1200\\\end{array}
Use the 4^{th} digit 0 from dividend 3600
\begin{array}{l}\phantom{240)}0015\phantom{8}\\240\overline{)3600}\\\phantom{240)}\underline{\phantom{}240\phantom{9}}\\\phantom{240)}1200\\\phantom{240)}\underline{\phantom{}1200\phantom{}}\\\phantom{240)9999}0\\\end{array}
Find closest multiple of 240 to 1200. We see that 5 \times 240 = 1200 is the nearest. Now subtract 1200 from 1200 to get reminder 0. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }0
Since 0 is less than 240, stop the division. The reminder is 0. The topmost line 0015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.
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}