Evaluate
96
Factor
2^{5}\times 3
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\begin{array}{l}\phantom{37)}\phantom{1}\\37\overline{)3552}\\\end{array}
Use the 1^{st} digit 3 from dividend 3552
\begin{array}{l}\phantom{37)}0\phantom{2}\\37\overline{)3552}\\\end{array}
Since 3 is less than 37, use the next digit 5 from dividend 3552 and add 0 to the quotient
\begin{array}{l}\phantom{37)}0\phantom{3}\\37\overline{)3552}\\\end{array}
Use the 2^{nd} digit 5 from dividend 3552
\begin{array}{l}\phantom{37)}00\phantom{4}\\37\overline{)3552}\\\end{array}
Since 35 is less than 37, use the next digit 5 from dividend 3552 and add 0 to the quotient
\begin{array}{l}\phantom{37)}00\phantom{5}\\37\overline{)3552}\\\end{array}
Use the 3^{rd} digit 5 from dividend 3552
\begin{array}{l}\phantom{37)}009\phantom{6}\\37\overline{)3552}\\\phantom{37)}\underline{\phantom{}333\phantom{9}}\\\phantom{37)9}22\\\end{array}
Find closest multiple of 37 to 355. We see that 9 \times 37 = 333 is the nearest. Now subtract 333 from 355 to get reminder 22. Add 9 to quotient.
\begin{array}{l}\phantom{37)}009\phantom{7}\\37\overline{)3552}\\\phantom{37)}\underline{\phantom{}333\phantom{9}}\\\phantom{37)9}222\\\end{array}
Use the 4^{th} digit 2 from dividend 3552
\begin{array}{l}\phantom{37)}0096\phantom{8}\\37\overline{)3552}\\\phantom{37)}\underline{\phantom{}333\phantom{9}}\\\phantom{37)9}222\\\phantom{37)}\underline{\phantom{9}222\phantom{}}\\\phantom{37)9999}0\\\end{array}
Find closest multiple of 37 to 222. We see that 6 \times 37 = 222 is the nearest. Now subtract 222 from 222 to get reminder 0. Add 6 to quotient.
\text{Quotient: }96 \text{Reminder: }0
Since 0 is less than 37, stop the division. The reminder is 0. The topmost line 0096 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 96.
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}