Evaluate
\frac{1080}{19}\approx 56.842105263
Factor
\frac{2 ^ {3} \cdot 3 ^ {3} \cdot 5}{19} = 56\frac{16}{19} = 56.8421052631579
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\begin{array}{l}\phantom{76)}\phantom{1}\\76\overline{)4320}\\\end{array}
Use the 1^{st} digit 4 from dividend 4320
\begin{array}{l}\phantom{76)}0\phantom{2}\\76\overline{)4320}\\\end{array}
Since 4 is less than 76, use the next digit 3 from dividend 4320 and add 0 to the quotient
\begin{array}{l}\phantom{76)}0\phantom{3}\\76\overline{)4320}\\\end{array}
Use the 2^{nd} digit 3 from dividend 4320
\begin{array}{l}\phantom{76)}00\phantom{4}\\76\overline{)4320}\\\end{array}
Since 43 is less than 76, use the next digit 2 from dividend 4320 and add 0 to the quotient
\begin{array}{l}\phantom{76)}00\phantom{5}\\76\overline{)4320}\\\end{array}
Use the 3^{rd} digit 2 from dividend 4320
\begin{array}{l}\phantom{76)}005\phantom{6}\\76\overline{)4320}\\\phantom{76)}\underline{\phantom{}380\phantom{9}}\\\phantom{76)9}52\\\end{array}
Find closest multiple of 76 to 432. We see that 5 \times 76 = 380 is the nearest. Now subtract 380 from 432 to get reminder 52. Add 5 to quotient.
\begin{array}{l}\phantom{76)}005\phantom{7}\\76\overline{)4320}\\\phantom{76)}\underline{\phantom{}380\phantom{9}}\\\phantom{76)9}520\\\end{array}
Use the 4^{th} digit 0 from dividend 4320
\begin{array}{l}\phantom{76)}0056\phantom{8}\\76\overline{)4320}\\\phantom{76)}\underline{\phantom{}380\phantom{9}}\\\phantom{76)9}520\\\phantom{76)}\underline{\phantom{9}456\phantom{}}\\\phantom{76)99}64\\\end{array}
Find closest multiple of 76 to 520. We see that 6 \times 76 = 456 is the nearest. Now subtract 456 from 520 to get reminder 64. Add 6 to quotient.
\text{Quotient: }56 \text{Reminder: }64
Since 64 is less than 76, stop the division. The reminder is 64. The topmost line 0056 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 56.
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}