Evaluate
\frac{140}{3}\approx 46.666666667
Factor
\frac{2 ^ {2} \cdot 5 \cdot 7}{3} = 46\frac{2}{3} = 46.666666666666664
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\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)1400}\\\end{array}
Use the 1^{st} digit 1 from dividend 1400
\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)1400}\\\end{array}
Since 1 is less than 30, use the next digit 4 from dividend 1400 and add 0 to the quotient
\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)1400}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1400
\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)1400}\\\end{array}
Since 14 is less than 30, use the next digit 0 from dividend 1400 and add 0 to the quotient
\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)1400}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1400
\begin{array}{l}\phantom{30)}004\phantom{6}\\30\overline{)1400}\\\phantom{30)}\underline{\phantom{}120\phantom{9}}\\\phantom{30)9}20\\\end{array}
Find closest multiple of 30 to 140. We see that 4 \times 30 = 120 is the nearest. Now subtract 120 from 140 to get reminder 20. Add 4 to quotient.
\begin{array}{l}\phantom{30)}004\phantom{7}\\30\overline{)1400}\\\phantom{30)}\underline{\phantom{}120\phantom{9}}\\\phantom{30)9}200\\\end{array}
Use the 4^{th} digit 0 from dividend 1400
\begin{array}{l}\phantom{30)}0046\phantom{8}\\30\overline{)1400}\\\phantom{30)}\underline{\phantom{}120\phantom{9}}\\\phantom{30)9}200\\\phantom{30)}\underline{\phantom{9}180\phantom{}}\\\phantom{30)99}20\\\end{array}
Find closest multiple of 30 to 200. We see that 6 \times 30 = 180 is the nearest. Now subtract 180 from 200 to get reminder 20. Add 6 to quotient.
\text{Quotient: }46 \text{Reminder: }20
Since 20 is less than 30, stop the division. The reminder is 20. The topmost line 0046 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 46.
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}