Evaluate
\frac{845605}{688489}\approx 1.228204082
Factor
\frac{5 \cdot 131 \cdot 1291}{29 \cdot 23741} = 1\frac{157116}{688489} = 1.228204081691937
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\begin{array}{l}\phantom{688489)}\phantom{1}\\688489\overline{)845605}\\\end{array}
Use the 1^{st} digit 8 from dividend 845605
\begin{array}{l}\phantom{688489)}0\phantom{2}\\688489\overline{)845605}\\\end{array}
Since 8 is less than 688489, use the next digit 4 from dividend 845605 and add 0 to the quotient
\begin{array}{l}\phantom{688489)}0\phantom{3}\\688489\overline{)845605}\\\end{array}
Use the 2^{nd} digit 4 from dividend 845605
\begin{array}{l}\phantom{688489)}00\phantom{4}\\688489\overline{)845605}\\\end{array}
Since 84 is less than 688489, use the next digit 5 from dividend 845605 and add 0 to the quotient
\begin{array}{l}\phantom{688489)}00\phantom{5}\\688489\overline{)845605}\\\end{array}
Use the 3^{rd} digit 5 from dividend 845605
\begin{array}{l}\phantom{688489)}000\phantom{6}\\688489\overline{)845605}\\\end{array}
Since 845 is less than 688489, use the next digit 6 from dividend 845605 and add 0 to the quotient
\begin{array}{l}\phantom{688489)}000\phantom{7}\\688489\overline{)845605}\\\end{array}
Use the 4^{th} digit 6 from dividend 845605
\begin{array}{l}\phantom{688489)}0000\phantom{8}\\688489\overline{)845605}\\\end{array}
Since 8456 is less than 688489, use the next digit 0 from dividend 845605 and add 0 to the quotient
\begin{array}{l}\phantom{688489)}0000\phantom{9}\\688489\overline{)845605}\\\end{array}
Use the 5^{th} digit 0 from dividend 845605
\begin{array}{l}\phantom{688489)}00000\phantom{10}\\688489\overline{)845605}\\\end{array}
Since 84560 is less than 688489, use the next digit 5 from dividend 845605 and add 0 to the quotient
\begin{array}{l}\phantom{688489)}00000\phantom{11}\\688489\overline{)845605}\\\end{array}
Use the 6^{th} digit 5 from dividend 845605
\begin{array}{l}\phantom{688489)}000001\phantom{12}\\688489\overline{)845605}\\\phantom{688489)}\underline{\phantom{}688489\phantom{}}\\\phantom{688489)}157116\\\end{array}
Find closest multiple of 688489 to 845605. We see that 1 \times 688489 = 688489 is the nearest. Now subtract 688489 from 845605 to get reminder 157116. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }157116
Since 157116 is less than 688489, stop the division. The reminder is 157116. The topmost line 000001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}