Evaluate
\frac{9607}{4970}\approx 1.932997988
Factor
\frac{13 \cdot 739}{2 \cdot 5 \cdot 7 \cdot 71} = 1\frac{4637}{4970} = 1.9329979879275654
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\begin{array}{l}\phantom{49700)}\phantom{1}\\49700\overline{)96070}\\\end{array}
Use the 1^{st} digit 9 from dividend 96070
\begin{array}{l}\phantom{49700)}0\phantom{2}\\49700\overline{)96070}\\\end{array}
Since 9 is less than 49700, use the next digit 6 from dividend 96070 and add 0 to the quotient
\begin{array}{l}\phantom{49700)}0\phantom{3}\\49700\overline{)96070}\\\end{array}
Use the 2^{nd} digit 6 from dividend 96070
\begin{array}{l}\phantom{49700)}00\phantom{4}\\49700\overline{)96070}\\\end{array}
Since 96 is less than 49700, use the next digit 0 from dividend 96070 and add 0 to the quotient
\begin{array}{l}\phantom{49700)}00\phantom{5}\\49700\overline{)96070}\\\end{array}
Use the 3^{rd} digit 0 from dividend 96070
\begin{array}{l}\phantom{49700)}000\phantom{6}\\49700\overline{)96070}\\\end{array}
Since 960 is less than 49700, use the next digit 7 from dividend 96070 and add 0 to the quotient
\begin{array}{l}\phantom{49700)}000\phantom{7}\\49700\overline{)96070}\\\end{array}
Use the 4^{th} digit 7 from dividend 96070
\begin{array}{l}\phantom{49700)}0000\phantom{8}\\49700\overline{)96070}\\\end{array}
Since 9607 is less than 49700, use the next digit 0 from dividend 96070 and add 0 to the quotient
\begin{array}{l}\phantom{49700)}0000\phantom{9}\\49700\overline{)96070}\\\end{array}
Use the 5^{th} digit 0 from dividend 96070
\begin{array}{l}\phantom{49700)}00001\phantom{10}\\49700\overline{)96070}\\\phantom{49700)}\underline{\phantom{}49700\phantom{}}\\\phantom{49700)}46370\\\end{array}
Find closest multiple of 49700 to 96070. We see that 1 \times 49700 = 49700 is the nearest. Now subtract 49700 from 96070 to get reminder 46370. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }46370
Since 46370 is less than 49700, stop the division. The reminder is 46370. The topmost line 00001 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}