Evaluate
\frac{54601}{7500}\approx 7.280133333
Factor
\frac{54601}{2 ^ {2} \cdot 3 \cdot 5 ^ {4}} = 7\frac{2101}{7500} = 7.280133333333334
Share
Copied to clipboard
\begin{array}{l}\phantom{7500)}\phantom{1}\\7500\overline{)54601}\\\end{array}
Use the 1^{st} digit 5 from dividend 54601
\begin{array}{l}\phantom{7500)}0\phantom{2}\\7500\overline{)54601}\\\end{array}
Since 5 is less than 7500, use the next digit 4 from dividend 54601 and add 0 to the quotient
\begin{array}{l}\phantom{7500)}0\phantom{3}\\7500\overline{)54601}\\\end{array}
Use the 2^{nd} digit 4 from dividend 54601
\begin{array}{l}\phantom{7500)}00\phantom{4}\\7500\overline{)54601}\\\end{array}
Since 54 is less than 7500, use the next digit 6 from dividend 54601 and add 0 to the quotient
\begin{array}{l}\phantom{7500)}00\phantom{5}\\7500\overline{)54601}\\\end{array}
Use the 3^{rd} digit 6 from dividend 54601
\begin{array}{l}\phantom{7500)}000\phantom{6}\\7500\overline{)54601}\\\end{array}
Since 546 is less than 7500, use the next digit 0 from dividend 54601 and add 0 to the quotient
\begin{array}{l}\phantom{7500)}000\phantom{7}\\7500\overline{)54601}\\\end{array}
Use the 4^{th} digit 0 from dividend 54601
\begin{array}{l}\phantom{7500)}0000\phantom{8}\\7500\overline{)54601}\\\end{array}
Since 5460 is less than 7500, use the next digit 1 from dividend 54601 and add 0 to the quotient
\begin{array}{l}\phantom{7500)}0000\phantom{9}\\7500\overline{)54601}\\\end{array}
Use the 5^{th} digit 1 from dividend 54601
\begin{array}{l}\phantom{7500)}00007\phantom{10}\\7500\overline{)54601}\\\phantom{7500)}\underline{\phantom{}52500\phantom{}}\\\phantom{7500)9}2101\\\end{array}
Find closest multiple of 7500 to 54601. We see that 7 \times 7500 = 52500 is the nearest. Now subtract 52500 from 54601 to get reminder 2101. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }2101
Since 2101 is less than 7500, stop the division. The reminder is 2101. The topmost line 00007 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}