Evaluate
49
Factor
7^{2}
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\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)1568}\\\end{array}
Use the 1^{st} digit 1 from dividend 1568
\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)1568}\\\end{array}
Since 1 is less than 32, use the next digit 5 from dividend 1568 and add 0 to the quotient
\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)1568}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1568
\begin{array}{l}\phantom{32)}00\phantom{4}\\32\overline{)1568}\\\end{array}
Since 15 is less than 32, use the next digit 6 from dividend 1568 and add 0 to the quotient
\begin{array}{l}\phantom{32)}00\phantom{5}\\32\overline{)1568}\\\end{array}
Use the 3^{rd} digit 6 from dividend 1568
\begin{array}{l}\phantom{32)}004\phantom{6}\\32\overline{)1568}\\\phantom{32)}\underline{\phantom{}128\phantom{9}}\\\phantom{32)9}28\\\end{array}
Find closest multiple of 32 to 156. We see that 4 \times 32 = 128 is the nearest. Now subtract 128 from 156 to get reminder 28. Add 4 to quotient.
\begin{array}{l}\phantom{32)}004\phantom{7}\\32\overline{)1568}\\\phantom{32)}\underline{\phantom{}128\phantom{9}}\\\phantom{32)9}288\\\end{array}
Use the 4^{th} digit 8 from dividend 1568
\begin{array}{l}\phantom{32)}0049\phantom{8}\\32\overline{)1568}\\\phantom{32)}\underline{\phantom{}128\phantom{9}}\\\phantom{32)9}288\\\phantom{32)}\underline{\phantom{9}288\phantom{}}\\\phantom{32)9999}0\\\end{array}
Find closest multiple of 32 to 288. We see that 9 \times 32 = 288 is the nearest. Now subtract 288 from 288 to get reminder 0. Add 9 to quotient.
\text{Quotient: }49 \text{Reminder: }0
Since 0 is less than 32, stop the division. The reminder is 0. The topmost line 0049 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 49.
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}