Evaluate
\frac{689}{10}=68.9
Factor
\frac{13 \cdot 53}{2 \cdot 5} = 68\frac{9}{10} = 68.9
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\begin{array}{l}\phantom{200)}\phantom{1}\\200\overline{)13780}\\\end{array}
Use the 1^{st} digit 1 from dividend 13780
\begin{array}{l}\phantom{200)}0\phantom{2}\\200\overline{)13780}\\\end{array}
Since 1 is less than 200, use the next digit 3 from dividend 13780 and add 0 to the quotient
\begin{array}{l}\phantom{200)}0\phantom{3}\\200\overline{)13780}\\\end{array}
Use the 2^{nd} digit 3 from dividend 13780
\begin{array}{l}\phantom{200)}00\phantom{4}\\200\overline{)13780}\\\end{array}
Since 13 is less than 200, use the next digit 7 from dividend 13780 and add 0 to the quotient
\begin{array}{l}\phantom{200)}00\phantom{5}\\200\overline{)13780}\\\end{array}
Use the 3^{rd} digit 7 from dividend 13780
\begin{array}{l}\phantom{200)}000\phantom{6}\\200\overline{)13780}\\\end{array}
Since 137 is less than 200, use the next digit 8 from dividend 13780 and add 0 to the quotient
\begin{array}{l}\phantom{200)}000\phantom{7}\\200\overline{)13780}\\\end{array}
Use the 4^{th} digit 8 from dividend 13780
\begin{array}{l}\phantom{200)}0006\phantom{8}\\200\overline{)13780}\\\phantom{200)}\underline{\phantom{}1200\phantom{9}}\\\phantom{200)9}178\\\end{array}
Find closest multiple of 200 to 1378. We see that 6 \times 200 = 1200 is the nearest. Now subtract 1200 from 1378 to get reminder 178. Add 6 to quotient.
\begin{array}{l}\phantom{200)}0006\phantom{9}\\200\overline{)13780}\\\phantom{200)}\underline{\phantom{}1200\phantom{9}}\\\phantom{200)9}1780\\\end{array}
Use the 5^{th} digit 0 from dividend 13780
\begin{array}{l}\phantom{200)}00068\phantom{10}\\200\overline{)13780}\\\phantom{200)}\underline{\phantom{}1200\phantom{9}}\\\phantom{200)9}1780\\\phantom{200)}\underline{\phantom{9}1600\phantom{}}\\\phantom{200)99}180\\\end{array}
Find closest multiple of 200 to 1780. We see that 8 \times 200 = 1600 is the nearest. Now subtract 1600 from 1780 to get reminder 180. Add 8 to quotient.
\text{Quotient: }68 \text{Reminder: }180
Since 180 is less than 200, stop the division. The reminder is 180. The topmost line 00068 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 68.
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}