Evaluate
32
Factor
2^{5}
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\begin{array}{l}\phantom{98)}\phantom{1}\\98\overline{)3136}\\\end{array}
Use the 1^{st} digit 3 from dividend 3136
\begin{array}{l}\phantom{98)}0\phantom{2}\\98\overline{)3136}\\\end{array}
Since 3 is less than 98, use the next digit 1 from dividend 3136 and add 0 to the quotient
\begin{array}{l}\phantom{98)}0\phantom{3}\\98\overline{)3136}\\\end{array}
Use the 2^{nd} digit 1 from dividend 3136
\begin{array}{l}\phantom{98)}00\phantom{4}\\98\overline{)3136}\\\end{array}
Since 31 is less than 98, use the next digit 3 from dividend 3136 and add 0 to the quotient
\begin{array}{l}\phantom{98)}00\phantom{5}\\98\overline{)3136}\\\end{array}
Use the 3^{rd} digit 3 from dividend 3136
\begin{array}{l}\phantom{98)}003\phantom{6}\\98\overline{)3136}\\\phantom{98)}\underline{\phantom{}294\phantom{9}}\\\phantom{98)9}19\\\end{array}
Find closest multiple of 98 to 313. We see that 3 \times 98 = 294 is the nearest. Now subtract 294 from 313 to get reminder 19. Add 3 to quotient.
\begin{array}{l}\phantom{98)}003\phantom{7}\\98\overline{)3136}\\\phantom{98)}\underline{\phantom{}294\phantom{9}}\\\phantom{98)9}196\\\end{array}
Use the 4^{th} digit 6 from dividend 3136
\begin{array}{l}\phantom{98)}0032\phantom{8}\\98\overline{)3136}\\\phantom{98)}\underline{\phantom{}294\phantom{9}}\\\phantom{98)9}196\\\phantom{98)}\underline{\phantom{9}196\phantom{}}\\\phantom{98)9999}0\\\end{array}
Find closest multiple of 98 to 196. We see that 2 \times 98 = 196 is the nearest. Now subtract 196 from 196 to get reminder 0. Add 2 to quotient.
\text{Quotient: }32 \text{Reminder: }0
Since 0 is less than 98, stop the division. The reminder is 0. The topmost line 0032 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 32.
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}