Evaluate
\frac{3576}{91}\approx 39.296703297
Factor
\frac{2 ^ {3} \cdot 3 \cdot 149}{7 \cdot 13} = 39\frac{27}{91} = 39.2967032967033
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\begin{array}{l}\phantom{91)}\phantom{1}\\91\overline{)3576}\\\end{array}
Use the 1^{st} digit 3 from dividend 3576
\begin{array}{l}\phantom{91)}0\phantom{2}\\91\overline{)3576}\\\end{array}
Since 3 is less than 91, use the next digit 5 from dividend 3576 and add 0 to the quotient
\begin{array}{l}\phantom{91)}0\phantom{3}\\91\overline{)3576}\\\end{array}
Use the 2^{nd} digit 5 from dividend 3576
\begin{array}{l}\phantom{91)}00\phantom{4}\\91\overline{)3576}\\\end{array}
Since 35 is less than 91, use the next digit 7 from dividend 3576 and add 0 to the quotient
\begin{array}{l}\phantom{91)}00\phantom{5}\\91\overline{)3576}\\\end{array}
Use the 3^{rd} digit 7 from dividend 3576
\begin{array}{l}\phantom{91)}003\phantom{6}\\91\overline{)3576}\\\phantom{91)}\underline{\phantom{}273\phantom{9}}\\\phantom{91)9}84\\\end{array}
Find closest multiple of 91 to 357. We see that 3 \times 91 = 273 is the nearest. Now subtract 273 from 357 to get reminder 84. Add 3 to quotient.
\begin{array}{l}\phantom{91)}003\phantom{7}\\91\overline{)3576}\\\phantom{91)}\underline{\phantom{}273\phantom{9}}\\\phantom{91)9}846\\\end{array}
Use the 4^{th} digit 6 from dividend 3576
\begin{array}{l}\phantom{91)}0039\phantom{8}\\91\overline{)3576}\\\phantom{91)}\underline{\phantom{}273\phantom{9}}\\\phantom{91)9}846\\\phantom{91)}\underline{\phantom{9}819\phantom{}}\\\phantom{91)99}27\\\end{array}
Find closest multiple of 91 to 846. We see that 9 \times 91 = 819 is the nearest. Now subtract 819 from 846 to get reminder 27. Add 9 to quotient.
\text{Quotient: }39 \text{Reminder: }27
Since 27 is less than 91, stop the division. The reminder is 27. The topmost line 0039 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 39.
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}