Evaluate
57
Factor
3\times 19
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\begin{array}{l}\phantom{57)}\phantom{1}\\57\overline{)3249}\\\end{array}
Use the 1^{st} digit 3 from dividend 3249
\begin{array}{l}\phantom{57)}0\phantom{2}\\57\overline{)3249}\\\end{array}
Since 3 is less than 57, use the next digit 2 from dividend 3249 and add 0 to the quotient
\begin{array}{l}\phantom{57)}0\phantom{3}\\57\overline{)3249}\\\end{array}
Use the 2^{nd} digit 2 from dividend 3249
\begin{array}{l}\phantom{57)}00\phantom{4}\\57\overline{)3249}\\\end{array}
Since 32 is less than 57, use the next digit 4 from dividend 3249 and add 0 to the quotient
\begin{array}{l}\phantom{57)}00\phantom{5}\\57\overline{)3249}\\\end{array}
Use the 3^{rd} digit 4 from dividend 3249
\begin{array}{l}\phantom{57)}005\phantom{6}\\57\overline{)3249}\\\phantom{57)}\underline{\phantom{}285\phantom{9}}\\\phantom{57)9}39\\\end{array}
Find closest multiple of 57 to 324. We see that 5 \times 57 = 285 is the nearest. Now subtract 285 from 324 to get reminder 39. Add 5 to quotient.
\begin{array}{l}\phantom{57)}005\phantom{7}\\57\overline{)3249}\\\phantom{57)}\underline{\phantom{}285\phantom{9}}\\\phantom{57)9}399\\\end{array}
Use the 4^{th} digit 9 from dividend 3249
\begin{array}{l}\phantom{57)}0057\phantom{8}\\57\overline{)3249}\\\phantom{57)}\underline{\phantom{}285\phantom{9}}\\\phantom{57)9}399\\\phantom{57)}\underline{\phantom{9}399\phantom{}}\\\phantom{57)9999}0\\\end{array}
Find closest multiple of 57 to 399. We see that 7 \times 57 = 399 is the nearest. Now subtract 399 from 399 to get reminder 0. Add 7 to quotient.
\text{Quotient: }57 \text{Reminder: }0
Since 0 is less than 57, stop the division. The reminder is 0. The topmost line 0057 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 57.
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}