Evaluate
\frac{30907}{100}=309.07
Factor
\frac{31 \cdot 997}{2 ^ {2} \cdot 5 ^ {2}} = 309\frac{7}{100} = 309.07
Share
Copied to clipboard
\begin{array}{l}\phantom{700)}\phantom{1}\\700\overline{)216349}\\\end{array}
Use the 1^{st} digit 2 from dividend 216349
\begin{array}{l}\phantom{700)}0\phantom{2}\\700\overline{)216349}\\\end{array}
Since 2 is less than 700, use the next digit 1 from dividend 216349 and add 0 to the quotient
\begin{array}{l}\phantom{700)}0\phantom{3}\\700\overline{)216349}\\\end{array}
Use the 2^{nd} digit 1 from dividend 216349
\begin{array}{l}\phantom{700)}00\phantom{4}\\700\overline{)216349}\\\end{array}
Since 21 is less than 700, use the next digit 6 from dividend 216349 and add 0 to the quotient
\begin{array}{l}\phantom{700)}00\phantom{5}\\700\overline{)216349}\\\end{array}
Use the 3^{rd} digit 6 from dividend 216349
\begin{array}{l}\phantom{700)}000\phantom{6}\\700\overline{)216349}\\\end{array}
Since 216 is less than 700, use the next digit 3 from dividend 216349 and add 0 to the quotient
\begin{array}{l}\phantom{700)}000\phantom{7}\\700\overline{)216349}\\\end{array}
Use the 4^{th} digit 3 from dividend 216349
\begin{array}{l}\phantom{700)}0003\phantom{8}\\700\overline{)216349}\\\phantom{700)}\underline{\phantom{}2100\phantom{99}}\\\phantom{700)99}63\\\end{array}
Find closest multiple of 700 to 2163. We see that 3 \times 700 = 2100 is the nearest. Now subtract 2100 from 2163 to get reminder 63. Add 3 to quotient.
\begin{array}{l}\phantom{700)}0003\phantom{9}\\700\overline{)216349}\\\phantom{700)}\underline{\phantom{}2100\phantom{99}}\\\phantom{700)99}634\\\end{array}
Use the 5^{th} digit 4 from dividend 216349
\begin{array}{l}\phantom{700)}00030\phantom{10}\\700\overline{)216349}\\\phantom{700)}\underline{\phantom{}2100\phantom{99}}\\\phantom{700)99}634\\\end{array}
Since 634 is less than 700, use the next digit 9 from dividend 216349 and add 0 to the quotient
\begin{array}{l}\phantom{700)}00030\phantom{11}\\700\overline{)216349}\\\phantom{700)}\underline{\phantom{}2100\phantom{99}}\\\phantom{700)99}6349\\\end{array}
Use the 6^{th} digit 9 from dividend 216349
\begin{array}{l}\phantom{700)}000309\phantom{12}\\700\overline{)216349}\\\phantom{700)}\underline{\phantom{}2100\phantom{99}}\\\phantom{700)99}6349\\\phantom{700)}\underline{\phantom{99}6300\phantom{}}\\\phantom{700)9999}49\\\end{array}
Find closest multiple of 700 to 6349. We see that 9 \times 700 = 6300 is the nearest. Now subtract 6300 from 6349 to get reminder 49. Add 9 to quotient.
\text{Quotient: }309 \text{Reminder: }49
Since 49 is less than 700, stop the division. The reminder is 49. The topmost line 000309 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 309.
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}