Evaluate
\frac{9664}{57}\approx 169.543859649
Factor
\frac{2 ^ {6} \cdot 151}{3 \cdot 19} = 169\frac{31}{57} = 169.5438596491228
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\begin{array}{l}\phantom{57)}\phantom{1}\\57\overline{)9664}\\\end{array}
Use the 1^{st} digit 9 from dividend 9664
\begin{array}{l}\phantom{57)}0\phantom{2}\\57\overline{)9664}\\\end{array}
Since 9 is less than 57, use the next digit 6 from dividend 9664 and add 0 to the quotient
\begin{array}{l}\phantom{57)}0\phantom{3}\\57\overline{)9664}\\\end{array}
Use the 2^{nd} digit 6 from dividend 9664
\begin{array}{l}\phantom{57)}01\phantom{4}\\57\overline{)9664}\\\phantom{57)}\underline{\phantom{}57\phantom{99}}\\\phantom{57)}39\\\end{array}
Find closest multiple of 57 to 96. We see that 1 \times 57 = 57 is the nearest. Now subtract 57 from 96 to get reminder 39. Add 1 to quotient.
\begin{array}{l}\phantom{57)}01\phantom{5}\\57\overline{)9664}\\\phantom{57)}\underline{\phantom{}57\phantom{99}}\\\phantom{57)}396\\\end{array}
Use the 3^{rd} digit 6 from dividend 9664
\begin{array}{l}\phantom{57)}016\phantom{6}\\57\overline{)9664}\\\phantom{57)}\underline{\phantom{}57\phantom{99}}\\\phantom{57)}396\\\phantom{57)}\underline{\phantom{}342\phantom{9}}\\\phantom{57)9}54\\\end{array}
Find closest multiple of 57 to 396. We see that 6 \times 57 = 342 is the nearest. Now subtract 342 from 396 to get reminder 54. Add 6 to quotient.
\begin{array}{l}\phantom{57)}016\phantom{7}\\57\overline{)9664}\\\phantom{57)}\underline{\phantom{}57\phantom{99}}\\\phantom{57)}396\\\phantom{57)}\underline{\phantom{}342\phantom{9}}\\\phantom{57)9}544\\\end{array}
Use the 4^{th} digit 4 from dividend 9664
\begin{array}{l}\phantom{57)}0169\phantom{8}\\57\overline{)9664}\\\phantom{57)}\underline{\phantom{}57\phantom{99}}\\\phantom{57)}396\\\phantom{57)}\underline{\phantom{}342\phantom{9}}\\\phantom{57)9}544\\\phantom{57)}\underline{\phantom{9}513\phantom{}}\\\phantom{57)99}31\\\end{array}
Find closest multiple of 57 to 544. We see that 9 \times 57 = 513 is the nearest. Now subtract 513 from 544 to get reminder 31. Add 9 to quotient.
\text{Quotient: }169 \text{Reminder: }31
Since 31 is less than 57, stop the division. The reminder is 31. The topmost line 0169 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 169.
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}