Evaluate
\frac{4426}{965}\approx 4.586528497
Factor
\frac{2 \cdot 2213}{5 \cdot 193} = 4\frac{566}{965} = 4.5865284974093266
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\begin{array}{l}\phantom{965)}\phantom{1}\\965\overline{)4426}\\\end{array}
Use the 1^{st} digit 4 from dividend 4426
\begin{array}{l}\phantom{965)}0\phantom{2}\\965\overline{)4426}\\\end{array}
Since 4 is less than 965, use the next digit 4 from dividend 4426 and add 0 to the quotient
\begin{array}{l}\phantom{965)}0\phantom{3}\\965\overline{)4426}\\\end{array}
Use the 2^{nd} digit 4 from dividend 4426
\begin{array}{l}\phantom{965)}00\phantom{4}\\965\overline{)4426}\\\end{array}
Since 44 is less than 965, use the next digit 2 from dividend 4426 and add 0 to the quotient
\begin{array}{l}\phantom{965)}00\phantom{5}\\965\overline{)4426}\\\end{array}
Use the 3^{rd} digit 2 from dividend 4426
\begin{array}{l}\phantom{965)}000\phantom{6}\\965\overline{)4426}\\\end{array}
Since 442 is less than 965, use the next digit 6 from dividend 4426 and add 0 to the quotient
\begin{array}{l}\phantom{965)}000\phantom{7}\\965\overline{)4426}\\\end{array}
Use the 4^{th} digit 6 from dividend 4426
\begin{array}{l}\phantom{965)}0004\phantom{8}\\965\overline{)4426}\\\phantom{965)}\underline{\phantom{}3860\phantom{}}\\\phantom{965)9}566\\\end{array}
Find closest multiple of 965 to 4426. We see that 4 \times 965 = 3860 is the nearest. Now subtract 3860 from 4426 to get reminder 566. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }566
Since 566 is less than 965, stop the division. The reminder is 566. The topmost line 0004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}