Evaluate
\frac{55}{3}\approx 18.333333333
Factor
\frac{5 \cdot 11}{3} = 18\frac{1}{3} = 18.333333333333332
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\begin{array}{l}\phantom{4200)}\phantom{1}\\4200\overline{)77000}\\\end{array}
Use the 1^{st} digit 7 from dividend 77000
\begin{array}{l}\phantom{4200)}0\phantom{2}\\4200\overline{)77000}\\\end{array}
Since 7 is less than 4200, use the next digit 7 from dividend 77000 and add 0 to the quotient
\begin{array}{l}\phantom{4200)}0\phantom{3}\\4200\overline{)77000}\\\end{array}
Use the 2^{nd} digit 7 from dividend 77000
\begin{array}{l}\phantom{4200)}00\phantom{4}\\4200\overline{)77000}\\\end{array}
Since 77 is less than 4200, use the next digit 0 from dividend 77000 and add 0 to the quotient
\begin{array}{l}\phantom{4200)}00\phantom{5}\\4200\overline{)77000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 77000
\begin{array}{l}\phantom{4200)}000\phantom{6}\\4200\overline{)77000}\\\end{array}
Since 770 is less than 4200, use the next digit 0 from dividend 77000 and add 0 to the quotient
\begin{array}{l}\phantom{4200)}000\phantom{7}\\4200\overline{)77000}\\\end{array}
Use the 4^{th} digit 0 from dividend 77000
\begin{array}{l}\phantom{4200)}0001\phantom{8}\\4200\overline{)77000}\\\phantom{4200)}\underline{\phantom{}4200\phantom{9}}\\\phantom{4200)}3500\\\end{array}
Find closest multiple of 4200 to 7700. We see that 1 \times 4200 = 4200 is the nearest. Now subtract 4200 from 7700 to get reminder 3500. Add 1 to quotient.
\begin{array}{l}\phantom{4200)}0001\phantom{9}\\4200\overline{)77000}\\\phantom{4200)}\underline{\phantom{}4200\phantom{9}}\\\phantom{4200)}35000\\\end{array}
Use the 5^{th} digit 0 from dividend 77000
\begin{array}{l}\phantom{4200)}00018\phantom{10}\\4200\overline{)77000}\\\phantom{4200)}\underline{\phantom{}4200\phantom{9}}\\\phantom{4200)}35000\\\phantom{4200)}\underline{\phantom{}33600\phantom{}}\\\phantom{4200)9}1400\\\end{array}
Find closest multiple of 4200 to 35000. We see that 8 \times 4200 = 33600 is the nearest. Now subtract 33600 from 35000 to get reminder 1400. Add 8 to quotient.
\text{Quotient: }18 \text{Reminder: }1400
Since 1400 is less than 4200, stop the division. The reminder is 1400. The topmost line 00018 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}