Evaluate
\frac{207311}{207067}\approx 1.001178363
Factor
\frac{13 \cdot 37 \cdot 431}{7 \cdot 29581} = 1\frac{244}{207067} = 1.0011783625589785
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\begin{array}{l}\phantom{414134)}\phantom{1}\\414134\overline{)414622}\\\end{array}
Use the 1^{st} digit 4 from dividend 414622
\begin{array}{l}\phantom{414134)}0\phantom{2}\\414134\overline{)414622}\\\end{array}
Since 4 is less than 414134, use the next digit 1 from dividend 414622 and add 0 to the quotient
\begin{array}{l}\phantom{414134)}0\phantom{3}\\414134\overline{)414622}\\\end{array}
Use the 2^{nd} digit 1 from dividend 414622
\begin{array}{l}\phantom{414134)}00\phantom{4}\\414134\overline{)414622}\\\end{array}
Since 41 is less than 414134, use the next digit 4 from dividend 414622 and add 0 to the quotient
\begin{array}{l}\phantom{414134)}00\phantom{5}\\414134\overline{)414622}\\\end{array}
Use the 3^{rd} digit 4 from dividend 414622
\begin{array}{l}\phantom{414134)}000\phantom{6}\\414134\overline{)414622}\\\end{array}
Since 414 is less than 414134, use the next digit 6 from dividend 414622 and add 0 to the quotient
\begin{array}{l}\phantom{414134)}000\phantom{7}\\414134\overline{)414622}\\\end{array}
Use the 4^{th} digit 6 from dividend 414622
\begin{array}{l}\phantom{414134)}0000\phantom{8}\\414134\overline{)414622}\\\end{array}
Since 4146 is less than 414134, use the next digit 2 from dividend 414622 and add 0 to the quotient
\begin{array}{l}\phantom{414134)}0000\phantom{9}\\414134\overline{)414622}\\\end{array}
Use the 5^{th} digit 2 from dividend 414622
\begin{array}{l}\phantom{414134)}00000\phantom{10}\\414134\overline{)414622}\\\end{array}
Since 41462 is less than 414134, use the next digit 2 from dividend 414622 and add 0 to the quotient
\begin{array}{l}\phantom{414134)}00000\phantom{11}\\414134\overline{)414622}\\\end{array}
Use the 6^{th} digit 2 from dividend 414622
\begin{array}{l}\phantom{414134)}000001\phantom{12}\\414134\overline{)414622}\\\phantom{414134)}\underline{\phantom{}414134\phantom{}}\\\phantom{414134)999}488\\\end{array}
Find closest multiple of 414134 to 414622. We see that 1 \times 414134 = 414134 is the nearest. Now subtract 414134 from 414622 to get reminder 488. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }488
Since 488 is less than 414134, stop the division. The reminder is 488. 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}