Evaluate
\frac{1328}{57}\approx 23.298245614
Factor
\frac{2 ^ {4} \cdot 83}{3 \cdot 19} = 23\frac{17}{57} = 23.29824561403509
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\begin{array}{l}\phantom{57)}\phantom{1}\\57\overline{)1328}\\\end{array}
Use the 1^{st} digit 1 from dividend 1328
\begin{array}{l}\phantom{57)}0\phantom{2}\\57\overline{)1328}\\\end{array}
Since 1 is less than 57, use the next digit 3 from dividend 1328 and add 0 to the quotient
\begin{array}{l}\phantom{57)}0\phantom{3}\\57\overline{)1328}\\\end{array}
Use the 2^{nd} digit 3 from dividend 1328
\begin{array}{l}\phantom{57)}00\phantom{4}\\57\overline{)1328}\\\end{array}
Since 13 is less than 57, use the next digit 2 from dividend 1328 and add 0 to the quotient
\begin{array}{l}\phantom{57)}00\phantom{5}\\57\overline{)1328}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1328
\begin{array}{l}\phantom{57)}002\phantom{6}\\57\overline{)1328}\\\phantom{57)}\underline{\phantom{}114\phantom{9}}\\\phantom{57)9}18\\\end{array}
Find closest multiple of 57 to 132. We see that 2 \times 57 = 114 is the nearest. Now subtract 114 from 132 to get reminder 18. Add 2 to quotient.
\begin{array}{l}\phantom{57)}002\phantom{7}\\57\overline{)1328}\\\phantom{57)}\underline{\phantom{}114\phantom{9}}\\\phantom{57)9}188\\\end{array}
Use the 4^{th} digit 8 from dividend 1328
\begin{array}{l}\phantom{57)}0023\phantom{8}\\57\overline{)1328}\\\phantom{57)}\underline{\phantom{}114\phantom{9}}\\\phantom{57)9}188\\\phantom{57)}\underline{\phantom{9}171\phantom{}}\\\phantom{57)99}17\\\end{array}
Find closest multiple of 57 to 188. We see that 3 \times 57 = 171 is the nearest. Now subtract 171 from 188 to get reminder 17. Add 3 to quotient.
\text{Quotient: }23 \text{Reminder: }17
Since 17 is less than 57, stop the division. The reminder is 17. The topmost line 0023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.
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}