Evaluate
\frac{4280}{57}\approx 75.087719298
Factor
\frac{2 ^ {3} \cdot 5 \cdot 107}{3 \cdot 19} = 75\frac{5}{57} = 75.08771929824562
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\begin{array}{l}\phantom{57)}\phantom{1}\\57\overline{)4280}\\\end{array}
Use the 1^{st} digit 4 from dividend 4280
\begin{array}{l}\phantom{57)}0\phantom{2}\\57\overline{)4280}\\\end{array}
Since 4 is less than 57, use the next digit 2 from dividend 4280 and add 0 to the quotient
\begin{array}{l}\phantom{57)}0\phantom{3}\\57\overline{)4280}\\\end{array}
Use the 2^{nd} digit 2 from dividend 4280
\begin{array}{l}\phantom{57)}00\phantom{4}\\57\overline{)4280}\\\end{array}
Since 42 is less than 57, use the next digit 8 from dividend 4280 and add 0 to the quotient
\begin{array}{l}\phantom{57)}00\phantom{5}\\57\overline{)4280}\\\end{array}
Use the 3^{rd} digit 8 from dividend 4280
\begin{array}{l}\phantom{57)}007\phantom{6}\\57\overline{)4280}\\\phantom{57)}\underline{\phantom{}399\phantom{9}}\\\phantom{57)9}29\\\end{array}
Find closest multiple of 57 to 428. We see that 7 \times 57 = 399 is the nearest. Now subtract 399 from 428 to get reminder 29. Add 7 to quotient.
\begin{array}{l}\phantom{57)}007\phantom{7}\\57\overline{)4280}\\\phantom{57)}\underline{\phantom{}399\phantom{9}}\\\phantom{57)9}290\\\end{array}
Use the 4^{th} digit 0 from dividend 4280
\begin{array}{l}\phantom{57)}0075\phantom{8}\\57\overline{)4280}\\\phantom{57)}\underline{\phantom{}399\phantom{9}}\\\phantom{57)9}290\\\phantom{57)}\underline{\phantom{9}285\phantom{}}\\\phantom{57)999}5\\\end{array}
Find closest multiple of 57 to 290. We see that 5 \times 57 = 285 is the nearest. Now subtract 285 from 290 to get reminder 5. Add 5 to quotient.
\text{Quotient: }75 \text{Reminder: }5
Since 5 is less than 57, stop the division. The reminder is 5. The topmost line 0075 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 75.
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}