Evaluate
35
Factor
5\times 7
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\begin{array}{l}\phantom{360)}\phantom{1}\\360\overline{)12600}\\\end{array}
Use the 1^{st} digit 1 from dividend 12600
\begin{array}{l}\phantom{360)}0\phantom{2}\\360\overline{)12600}\\\end{array}
Since 1 is less than 360, use the next digit 2 from dividend 12600 and add 0 to the quotient
\begin{array}{l}\phantom{360)}0\phantom{3}\\360\overline{)12600}\\\end{array}
Use the 2^{nd} digit 2 from dividend 12600
\begin{array}{l}\phantom{360)}00\phantom{4}\\360\overline{)12600}\\\end{array}
Since 12 is less than 360, use the next digit 6 from dividend 12600 and add 0 to the quotient
\begin{array}{l}\phantom{360)}00\phantom{5}\\360\overline{)12600}\\\end{array}
Use the 3^{rd} digit 6 from dividend 12600
\begin{array}{l}\phantom{360)}000\phantom{6}\\360\overline{)12600}\\\end{array}
Since 126 is less than 360, use the next digit 0 from dividend 12600 and add 0 to the quotient
\begin{array}{l}\phantom{360)}000\phantom{7}\\360\overline{)12600}\\\end{array}
Use the 4^{th} digit 0 from dividend 12600
\begin{array}{l}\phantom{360)}0003\phantom{8}\\360\overline{)12600}\\\phantom{360)}\underline{\phantom{}1080\phantom{9}}\\\phantom{360)9}180\\\end{array}
Find closest multiple of 360 to 1260. We see that 3 \times 360 = 1080 is the nearest. Now subtract 1080 from 1260 to get reminder 180. Add 3 to quotient.
\begin{array}{l}\phantom{360)}0003\phantom{9}\\360\overline{)12600}\\\phantom{360)}\underline{\phantom{}1080\phantom{9}}\\\phantom{360)9}1800\\\end{array}
Use the 5^{th} digit 0 from dividend 12600
\begin{array}{l}\phantom{360)}00035\phantom{10}\\360\overline{)12600}\\\phantom{360)}\underline{\phantom{}1080\phantom{9}}\\\phantom{360)9}1800\\\phantom{360)}\underline{\phantom{9}1800\phantom{}}\\\phantom{360)99999}0\\\end{array}
Find closest multiple of 360 to 1800. We see that 5 \times 360 = 1800 is the nearest. Now subtract 1800 from 1800 to get reminder 0. Add 5 to quotient.
\text{Quotient: }35 \text{Reminder: }0
Since 0 is less than 360, stop the division. The reminder is 0. The topmost line 00035 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 35.
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}