Evaluate
\frac{56}{3}\approx 18.666666667
Factor
\frac{2 ^ {3} \cdot 7}{3} = 18\frac{2}{3} = 18.666666666666668
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\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)1400}\\\end{array}
Use the 1^{st} digit 1 from dividend 1400
\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)1400}\\\end{array}
Since 1 is less than 75, use the next digit 4 from dividend 1400 and add 0 to the quotient
\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)1400}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1400
\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)1400}\\\end{array}
Since 14 is less than 75, use the next digit 0 from dividend 1400 and add 0 to the quotient
\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)1400}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1400
\begin{array}{l}\phantom{75)}001\phantom{6}\\75\overline{)1400}\\\phantom{75)}\underline{\phantom{9}75\phantom{9}}\\\phantom{75)9}65\\\end{array}
Find closest multiple of 75 to 140. We see that 1 \times 75 = 75 is the nearest. Now subtract 75 from 140 to get reminder 65. Add 1 to quotient.
\begin{array}{l}\phantom{75)}001\phantom{7}\\75\overline{)1400}\\\phantom{75)}\underline{\phantom{9}75\phantom{9}}\\\phantom{75)9}650\\\end{array}
Use the 4^{th} digit 0 from dividend 1400
\begin{array}{l}\phantom{75)}0018\phantom{8}\\75\overline{)1400}\\\phantom{75)}\underline{\phantom{9}75\phantom{9}}\\\phantom{75)9}650\\\phantom{75)}\underline{\phantom{9}600\phantom{}}\\\phantom{75)99}50\\\end{array}
Find closest multiple of 75 to 650. We see that 8 \times 75 = 600 is the nearest. Now subtract 600 from 650 to get reminder 50. Add 8 to quotient.
\text{Quotient: }18 \text{Reminder: }50
Since 50 is less than 75, stop the division. The reminder is 50. The topmost line 0018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.
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}