Evaluate
\frac{2133}{133}\approx 16.037593985
Factor
\frac{3 ^ {3} \cdot 79}{7 \cdot 19} = 16\frac{5}{133} = 16.037593984962406
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\begin{array}{l}\phantom{532)}\phantom{1}\\532\overline{)8532}\\\end{array}
Use the 1^{st} digit 8 from dividend 8532
\begin{array}{l}\phantom{532)}0\phantom{2}\\532\overline{)8532}\\\end{array}
Since 8 is less than 532, use the next digit 5 from dividend 8532 and add 0 to the quotient
\begin{array}{l}\phantom{532)}0\phantom{3}\\532\overline{)8532}\\\end{array}
Use the 2^{nd} digit 5 from dividend 8532
\begin{array}{l}\phantom{532)}00\phantom{4}\\532\overline{)8532}\\\end{array}
Since 85 is less than 532, use the next digit 3 from dividend 8532 and add 0 to the quotient
\begin{array}{l}\phantom{532)}00\phantom{5}\\532\overline{)8532}\\\end{array}
Use the 3^{rd} digit 3 from dividend 8532
\begin{array}{l}\phantom{532)}001\phantom{6}\\532\overline{)8532}\\\phantom{532)}\underline{\phantom{}532\phantom{9}}\\\phantom{532)}321\\\end{array}
Find closest multiple of 532 to 853. We see that 1 \times 532 = 532 is the nearest. Now subtract 532 from 853 to get reminder 321. Add 1 to quotient.
\begin{array}{l}\phantom{532)}001\phantom{7}\\532\overline{)8532}\\\phantom{532)}\underline{\phantom{}532\phantom{9}}\\\phantom{532)}3212\\\end{array}
Use the 4^{th} digit 2 from dividend 8532
\begin{array}{l}\phantom{532)}0016\phantom{8}\\532\overline{)8532}\\\phantom{532)}\underline{\phantom{}532\phantom{9}}\\\phantom{532)}3212\\\phantom{532)}\underline{\phantom{}3192\phantom{}}\\\phantom{532)99}20\\\end{array}
Find closest multiple of 532 to 3212. We see that 6 \times 532 = 3192 is the nearest. Now subtract 3192 from 3212 to get reminder 20. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }20
Since 20 is less than 532, stop the division. The reminder is 20. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
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}