Evaluate
\frac{693}{2}=346.5
Factor
\frac{3 ^ {2} \cdot 7 \cdot 11}{2} = 346\frac{1}{2} = 346.5
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\begin{array}{l}\phantom{360)}\phantom{1}\\360\overline{)124740}\\\end{array}
Use the 1^{st} digit 1 from dividend 124740
\begin{array}{l}\phantom{360)}0\phantom{2}\\360\overline{)124740}\\\end{array}
Since 1 is less than 360, use the next digit 2 from dividend 124740 and add 0 to the quotient
\begin{array}{l}\phantom{360)}0\phantom{3}\\360\overline{)124740}\\\end{array}
Use the 2^{nd} digit 2 from dividend 124740
\begin{array}{l}\phantom{360)}00\phantom{4}\\360\overline{)124740}\\\end{array}
Since 12 is less than 360, use the next digit 4 from dividend 124740 and add 0 to the quotient
\begin{array}{l}\phantom{360)}00\phantom{5}\\360\overline{)124740}\\\end{array}
Use the 3^{rd} digit 4 from dividend 124740
\begin{array}{l}\phantom{360)}000\phantom{6}\\360\overline{)124740}\\\end{array}
Since 124 is less than 360, use the next digit 7 from dividend 124740 and add 0 to the quotient
\begin{array}{l}\phantom{360)}000\phantom{7}\\360\overline{)124740}\\\end{array}
Use the 4^{th} digit 7 from dividend 124740
\begin{array}{l}\phantom{360)}0003\phantom{8}\\360\overline{)124740}\\\phantom{360)}\underline{\phantom{}1080\phantom{99}}\\\phantom{360)9}167\\\end{array}
Find closest multiple of 360 to 1247. We see that 3 \times 360 = 1080 is the nearest. Now subtract 1080 from 1247 to get reminder 167. Add 3 to quotient.
\begin{array}{l}\phantom{360)}0003\phantom{9}\\360\overline{)124740}\\\phantom{360)}\underline{\phantom{}1080\phantom{99}}\\\phantom{360)9}1674\\\end{array}
Use the 5^{th} digit 4 from dividend 124740
\begin{array}{l}\phantom{360)}00034\phantom{10}\\360\overline{)124740}\\\phantom{360)}\underline{\phantom{}1080\phantom{99}}\\\phantom{360)9}1674\\\phantom{360)}\underline{\phantom{9}1440\phantom{9}}\\\phantom{360)99}234\\\end{array}
Find closest multiple of 360 to 1674. We see that 4 \times 360 = 1440 is the nearest. Now subtract 1440 from 1674 to get reminder 234. Add 4 to quotient.
\begin{array}{l}\phantom{360)}00034\phantom{11}\\360\overline{)124740}\\\phantom{360)}\underline{\phantom{}1080\phantom{99}}\\\phantom{360)9}1674\\\phantom{360)}\underline{\phantom{9}1440\phantom{9}}\\\phantom{360)99}2340\\\end{array}
Use the 6^{th} digit 0 from dividend 124740
\begin{array}{l}\phantom{360)}000346\phantom{12}\\360\overline{)124740}\\\phantom{360)}\underline{\phantom{}1080\phantom{99}}\\\phantom{360)9}1674\\\phantom{360)}\underline{\phantom{9}1440\phantom{9}}\\\phantom{360)99}2340\\\phantom{360)}\underline{\phantom{99}2160\phantom{}}\\\phantom{360)999}180\\\end{array}
Find closest multiple of 360 to 2340. We see that 6 \times 360 = 2160 is the nearest. Now subtract 2160 from 2340 to get reminder 180. Add 6 to quotient.
\text{Quotient: }346 \text{Reminder: }180
Since 180 is less than 360, stop the division. The reminder is 180. The topmost line 000346 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 346.
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}