Evaluate
\frac{44132}{97}\approx 454.969072165
Factor
\frac{2 ^ {2} \cdot 11 \cdot 17 \cdot 59}{97} = 454\frac{94}{97} = 454.96907216494844
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\begin{array}{l}\phantom{97)}\phantom{1}\\97\overline{)44132}\\\end{array}
Use the 1^{st} digit 4 from dividend 44132
\begin{array}{l}\phantom{97)}0\phantom{2}\\97\overline{)44132}\\\end{array}
Since 4 is less than 97, use the next digit 4 from dividend 44132 and add 0 to the quotient
\begin{array}{l}\phantom{97)}0\phantom{3}\\97\overline{)44132}\\\end{array}
Use the 2^{nd} digit 4 from dividend 44132
\begin{array}{l}\phantom{97)}00\phantom{4}\\97\overline{)44132}\\\end{array}
Since 44 is less than 97, use the next digit 1 from dividend 44132 and add 0 to the quotient
\begin{array}{l}\phantom{97)}00\phantom{5}\\97\overline{)44132}\\\end{array}
Use the 3^{rd} digit 1 from dividend 44132
\begin{array}{l}\phantom{97)}004\phantom{6}\\97\overline{)44132}\\\phantom{97)}\underline{\phantom{}388\phantom{99}}\\\phantom{97)9}53\\\end{array}
Find closest multiple of 97 to 441. We see that 4 \times 97 = 388 is the nearest. Now subtract 388 from 441 to get reminder 53. Add 4 to quotient.
\begin{array}{l}\phantom{97)}004\phantom{7}\\97\overline{)44132}\\\phantom{97)}\underline{\phantom{}388\phantom{99}}\\\phantom{97)9}533\\\end{array}
Use the 4^{th} digit 3 from dividend 44132
\begin{array}{l}\phantom{97)}0045\phantom{8}\\97\overline{)44132}\\\phantom{97)}\underline{\phantom{}388\phantom{99}}\\\phantom{97)9}533\\\phantom{97)}\underline{\phantom{9}485\phantom{9}}\\\phantom{97)99}48\\\end{array}
Find closest multiple of 97 to 533. We see that 5 \times 97 = 485 is the nearest. Now subtract 485 from 533 to get reminder 48. Add 5 to quotient.
\begin{array}{l}\phantom{97)}0045\phantom{9}\\97\overline{)44132}\\\phantom{97)}\underline{\phantom{}388\phantom{99}}\\\phantom{97)9}533\\\phantom{97)}\underline{\phantom{9}485\phantom{9}}\\\phantom{97)99}482\\\end{array}
Use the 5^{th} digit 2 from dividend 44132
\begin{array}{l}\phantom{97)}00454\phantom{10}\\97\overline{)44132}\\\phantom{97)}\underline{\phantom{}388\phantom{99}}\\\phantom{97)9}533\\\phantom{97)}\underline{\phantom{9}485\phantom{9}}\\\phantom{97)99}482\\\phantom{97)}\underline{\phantom{99}388\phantom{}}\\\phantom{97)999}94\\\end{array}
Find closest multiple of 97 to 482. We see that 4 \times 97 = 388 is the nearest. Now subtract 388 from 482 to get reminder 94. Add 4 to quotient.
\text{Quotient: }454 \text{Reminder: }94
Since 94 is less than 97, stop the division. The reminder is 94. The topmost line 00454 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 454.
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}