Evaluate
\frac{2150}{27}\approx 79.62962963
Factor
\frac{2 \cdot 5 ^ {2} \cdot 43}{3 ^ {3}} = 79\frac{17}{27} = 79.62962962962963
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\begin{array}{l}\phantom{54)}\phantom{1}\\54\overline{)4300}\\\end{array}
Use the 1^{st} digit 4 from dividend 4300
\begin{array}{l}\phantom{54)}0\phantom{2}\\54\overline{)4300}\\\end{array}
Since 4 is less than 54, use the next digit 3 from dividend 4300 and add 0 to the quotient
\begin{array}{l}\phantom{54)}0\phantom{3}\\54\overline{)4300}\\\end{array}
Use the 2^{nd} digit 3 from dividend 4300
\begin{array}{l}\phantom{54)}00\phantom{4}\\54\overline{)4300}\\\end{array}
Since 43 is less than 54, use the next digit 0 from dividend 4300 and add 0 to the quotient
\begin{array}{l}\phantom{54)}00\phantom{5}\\54\overline{)4300}\\\end{array}
Use the 3^{rd} digit 0 from dividend 4300
\begin{array}{l}\phantom{54)}007\phantom{6}\\54\overline{)4300}\\\phantom{54)}\underline{\phantom{}378\phantom{9}}\\\phantom{54)9}52\\\end{array}
Find closest multiple of 54 to 430. We see that 7 \times 54 = 378 is the nearest. Now subtract 378 from 430 to get reminder 52. Add 7 to quotient.
\begin{array}{l}\phantom{54)}007\phantom{7}\\54\overline{)4300}\\\phantom{54)}\underline{\phantom{}378\phantom{9}}\\\phantom{54)9}520\\\end{array}
Use the 4^{th} digit 0 from dividend 4300
\begin{array}{l}\phantom{54)}0079\phantom{8}\\54\overline{)4300}\\\phantom{54)}\underline{\phantom{}378\phantom{9}}\\\phantom{54)9}520\\\phantom{54)}\underline{\phantom{9}486\phantom{}}\\\phantom{54)99}34\\\end{array}
Find closest multiple of 54 to 520. We see that 9 \times 54 = 486 is the nearest. Now subtract 486 from 520 to get reminder 34. Add 9 to quotient.
\text{Quotient: }79 \text{Reminder: }34
Since 34 is less than 54, stop the division. The reminder is 34. The topmost line 0079 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 79.
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}