Evaluate
\frac{34}{3}\approx 11.333333333
Factor
\frac{2 \cdot 17}{3} = 11\frac{1}{3} = 11.333333333333334
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\begin{array}{l}\phantom{1200)}\phantom{1}\\1200\overline{)13600}\\\end{array}
Use the 1^{st} digit 1 from dividend 13600
\begin{array}{l}\phantom{1200)}0\phantom{2}\\1200\overline{)13600}\\\end{array}
Since 1 is less than 1200, use the next digit 3 from dividend 13600 and add 0 to the quotient
\begin{array}{l}\phantom{1200)}0\phantom{3}\\1200\overline{)13600}\\\end{array}
Use the 2^{nd} digit 3 from dividend 13600
\begin{array}{l}\phantom{1200)}00\phantom{4}\\1200\overline{)13600}\\\end{array}
Since 13 is less than 1200, use the next digit 6 from dividend 13600 and add 0 to the quotient
\begin{array}{l}\phantom{1200)}00\phantom{5}\\1200\overline{)13600}\\\end{array}
Use the 3^{rd} digit 6 from dividend 13600
\begin{array}{l}\phantom{1200)}000\phantom{6}\\1200\overline{)13600}\\\end{array}
Since 136 is less than 1200, use the next digit 0 from dividend 13600 and add 0 to the quotient
\begin{array}{l}\phantom{1200)}000\phantom{7}\\1200\overline{)13600}\\\end{array}
Use the 4^{th} digit 0 from dividend 13600
\begin{array}{l}\phantom{1200)}0001\phantom{8}\\1200\overline{)13600}\\\phantom{1200)}\underline{\phantom{}1200\phantom{9}}\\\phantom{1200)9}160\\\end{array}
Find closest multiple of 1200 to 1360. We see that 1 \times 1200 = 1200 is the nearest. Now subtract 1200 from 1360 to get reminder 160. Add 1 to quotient.
\begin{array}{l}\phantom{1200)}0001\phantom{9}\\1200\overline{)13600}\\\phantom{1200)}\underline{\phantom{}1200\phantom{9}}\\\phantom{1200)9}1600\\\end{array}
Use the 5^{th} digit 0 from dividend 13600
\begin{array}{l}\phantom{1200)}00011\phantom{10}\\1200\overline{)13600}\\\phantom{1200)}\underline{\phantom{}1200\phantom{9}}\\\phantom{1200)9}1600\\\phantom{1200)}\underline{\phantom{9}1200\phantom{}}\\\phantom{1200)99}400\\\end{array}
Find closest multiple of 1200 to 1600. We see that 1 \times 1200 = 1200 is the nearest. Now subtract 1200 from 1600 to get reminder 400. Add 1 to quotient.
\text{Quotient: }11 \text{Reminder: }400
Since 400 is less than 1200, stop the division. The reminder is 400. The topmost line 00011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.
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}