Evaluate
\frac{936977}{453731}\approx 2.065049556
Factor
\frac{101 \cdot 9277}{37 \cdot 12263} = 2\frac{29515}{453731} = 2.065049555794072
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\begin{array}{l}\phantom{453731)}\phantom{1}\\453731\overline{)936977}\\\end{array}
Use the 1^{st} digit 9 from dividend 936977
\begin{array}{l}\phantom{453731)}0\phantom{2}\\453731\overline{)936977}\\\end{array}
Since 9 is less than 453731, use the next digit 3 from dividend 936977 and add 0 to the quotient
\begin{array}{l}\phantom{453731)}0\phantom{3}\\453731\overline{)936977}\\\end{array}
Use the 2^{nd} digit 3 from dividend 936977
\begin{array}{l}\phantom{453731)}00\phantom{4}\\453731\overline{)936977}\\\end{array}
Since 93 is less than 453731, use the next digit 6 from dividend 936977 and add 0 to the quotient
\begin{array}{l}\phantom{453731)}00\phantom{5}\\453731\overline{)936977}\\\end{array}
Use the 3^{rd} digit 6 from dividend 936977
\begin{array}{l}\phantom{453731)}000\phantom{6}\\453731\overline{)936977}\\\end{array}
Since 936 is less than 453731, use the next digit 9 from dividend 936977 and add 0 to the quotient
\begin{array}{l}\phantom{453731)}000\phantom{7}\\453731\overline{)936977}\\\end{array}
Use the 4^{th} digit 9 from dividend 936977
\begin{array}{l}\phantom{453731)}0000\phantom{8}\\453731\overline{)936977}\\\end{array}
Since 9369 is less than 453731, use the next digit 7 from dividend 936977 and add 0 to the quotient
\begin{array}{l}\phantom{453731)}0000\phantom{9}\\453731\overline{)936977}\\\end{array}
Use the 5^{th} digit 7 from dividend 936977
\begin{array}{l}\phantom{453731)}00000\phantom{10}\\453731\overline{)936977}\\\end{array}
Since 93697 is less than 453731, use the next digit 7 from dividend 936977 and add 0 to the quotient
\begin{array}{l}\phantom{453731)}00000\phantom{11}\\453731\overline{)936977}\\\end{array}
Use the 6^{th} digit 7 from dividend 936977
\begin{array}{l}\phantom{453731)}000002\phantom{12}\\453731\overline{)936977}\\\phantom{453731)}\underline{\phantom{}907462\phantom{}}\\\phantom{453731)9}29515\\\end{array}
Find closest multiple of 453731 to 936977. We see that 2 \times 453731 = 907462 is the nearest. Now subtract 907462 from 936977 to get reminder 29515. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }29515
Since 29515 is less than 453731, stop the division. The reminder is 29515. The topmost line 000002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}