Evaluate
\frac{22457}{785}\approx 28.607643312
Factor
\frac{17 \cdot 1321}{5 \cdot 157} = 28\frac{477}{785} = 28.60764331210191
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\begin{array}{l}\phantom{785)}\phantom{1}\\785\overline{)22457}\\\end{array}
Use the 1^{st} digit 2 from dividend 22457
\begin{array}{l}\phantom{785)}0\phantom{2}\\785\overline{)22457}\\\end{array}
Since 2 is less than 785, use the next digit 2 from dividend 22457 and add 0 to the quotient
\begin{array}{l}\phantom{785)}0\phantom{3}\\785\overline{)22457}\\\end{array}
Use the 2^{nd} digit 2 from dividend 22457
\begin{array}{l}\phantom{785)}00\phantom{4}\\785\overline{)22457}\\\end{array}
Since 22 is less than 785, use the next digit 4 from dividend 22457 and add 0 to the quotient
\begin{array}{l}\phantom{785)}00\phantom{5}\\785\overline{)22457}\\\end{array}
Use the 3^{rd} digit 4 from dividend 22457
\begin{array}{l}\phantom{785)}000\phantom{6}\\785\overline{)22457}\\\end{array}
Since 224 is less than 785, use the next digit 5 from dividend 22457 and add 0 to the quotient
\begin{array}{l}\phantom{785)}000\phantom{7}\\785\overline{)22457}\\\end{array}
Use the 4^{th} digit 5 from dividend 22457
\begin{array}{l}\phantom{785)}0002\phantom{8}\\785\overline{)22457}\\\phantom{785)}\underline{\phantom{}1570\phantom{9}}\\\phantom{785)9}675\\\end{array}
Find closest multiple of 785 to 2245. We see that 2 \times 785 = 1570 is the nearest. Now subtract 1570 from 2245 to get reminder 675. Add 2 to quotient.
\begin{array}{l}\phantom{785)}0002\phantom{9}\\785\overline{)22457}\\\phantom{785)}\underline{\phantom{}1570\phantom{9}}\\\phantom{785)9}6757\\\end{array}
Use the 5^{th} digit 7 from dividend 22457
\begin{array}{l}\phantom{785)}00028\phantom{10}\\785\overline{)22457}\\\phantom{785)}\underline{\phantom{}1570\phantom{9}}\\\phantom{785)9}6757\\\phantom{785)}\underline{\phantom{9}6280\phantom{}}\\\phantom{785)99}477\\\end{array}
Find closest multiple of 785 to 6757. We see that 8 \times 785 = 6280 is the nearest. Now subtract 6280 from 6757 to get reminder 477. Add 8 to quotient.
\text{Quotient: }28 \text{Reminder: }477
Since 477 is less than 785, stop the division. The reminder is 477. The topmost line 00028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.
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}