Evaluate
\frac{36250}{4621}\approx 7.844622376
Factor
\frac{2 \cdot 5 ^ {4} \cdot 29}{4621} = 7\frac{3903}{4621} = 7.844622376109068
Share
Copied to clipboard
\begin{array}{l}\phantom{18484)}\phantom{1}\\18484\overline{)145000}\\\end{array}
Use the 1^{st} digit 1 from dividend 145000
\begin{array}{l}\phantom{18484)}0\phantom{2}\\18484\overline{)145000}\\\end{array}
Since 1 is less than 18484, use the next digit 4 from dividend 145000 and add 0 to the quotient
\begin{array}{l}\phantom{18484)}0\phantom{3}\\18484\overline{)145000}\\\end{array}
Use the 2^{nd} digit 4 from dividend 145000
\begin{array}{l}\phantom{18484)}00\phantom{4}\\18484\overline{)145000}\\\end{array}
Since 14 is less than 18484, use the next digit 5 from dividend 145000 and add 0 to the quotient
\begin{array}{l}\phantom{18484)}00\phantom{5}\\18484\overline{)145000}\\\end{array}
Use the 3^{rd} digit 5 from dividend 145000
\begin{array}{l}\phantom{18484)}000\phantom{6}\\18484\overline{)145000}\\\end{array}
Since 145 is less than 18484, use the next digit 0 from dividend 145000 and add 0 to the quotient
\begin{array}{l}\phantom{18484)}000\phantom{7}\\18484\overline{)145000}\\\end{array}
Use the 4^{th} digit 0 from dividend 145000
\begin{array}{l}\phantom{18484)}0000\phantom{8}\\18484\overline{)145000}\\\end{array}
Since 1450 is less than 18484, use the next digit 0 from dividend 145000 and add 0 to the quotient
\begin{array}{l}\phantom{18484)}0000\phantom{9}\\18484\overline{)145000}\\\end{array}
Use the 5^{th} digit 0 from dividend 145000
\begin{array}{l}\phantom{18484)}00000\phantom{10}\\18484\overline{)145000}\\\end{array}
Since 14500 is less than 18484, use the next digit 0 from dividend 145000 and add 0 to the quotient
\begin{array}{l}\phantom{18484)}00000\phantom{11}\\18484\overline{)145000}\\\end{array}
Use the 6^{th} digit 0 from dividend 145000
\begin{array}{l}\phantom{18484)}000007\phantom{12}\\18484\overline{)145000}\\\phantom{18484)}\underline{\phantom{}129388\phantom{}}\\\phantom{18484)9}15612\\\end{array}
Find closest multiple of 18484 to 145000. We see that 7 \times 18484 = 129388 is the nearest. Now subtract 129388 from 145000 to get reminder 15612. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }15612
Since 15612 is less than 18484, stop the division. The reminder is 15612. The topmost line 000007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}