Evaluate
\frac{37500}{11}\approx 3409.090909091
Factor
\frac{2 ^ {2} \cdot 3 \cdot 5 ^ {5}}{11} = 3409\frac{1}{11} = 3409.090909090909
Share
Copied to clipboard
\begin{array}{l}\phantom{44)}\phantom{1}\\44\overline{)150000}\\\end{array}
Use the 1^{st} digit 1 from dividend 150000
\begin{array}{l}\phantom{44)}0\phantom{2}\\44\overline{)150000}\\\end{array}
Since 1 is less than 44, use the next digit 5 from dividend 150000 and add 0 to the quotient
\begin{array}{l}\phantom{44)}0\phantom{3}\\44\overline{)150000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 150000
\begin{array}{l}\phantom{44)}00\phantom{4}\\44\overline{)150000}\\\end{array}
Since 15 is less than 44, use the next digit 0 from dividend 150000 and add 0 to the quotient
\begin{array}{l}\phantom{44)}00\phantom{5}\\44\overline{)150000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 150000
\begin{array}{l}\phantom{44)}003\phantom{6}\\44\overline{)150000}\\\phantom{44)}\underline{\phantom{}132\phantom{999}}\\\phantom{44)9}18\\\end{array}
Find closest multiple of 44 to 150. We see that 3 \times 44 = 132 is the nearest. Now subtract 132 from 150 to get reminder 18. Add 3 to quotient.
\begin{array}{l}\phantom{44)}003\phantom{7}\\44\overline{)150000}\\\phantom{44)}\underline{\phantom{}132\phantom{999}}\\\phantom{44)9}180\\\end{array}
Use the 4^{th} digit 0 from dividend 150000
\begin{array}{l}\phantom{44)}0034\phantom{8}\\44\overline{)150000}\\\phantom{44)}\underline{\phantom{}132\phantom{999}}\\\phantom{44)9}180\\\phantom{44)}\underline{\phantom{9}176\phantom{99}}\\\phantom{44)999}4\\\end{array}
Find closest multiple of 44 to 180. We see that 4 \times 44 = 176 is the nearest. Now subtract 176 from 180 to get reminder 4. Add 4 to quotient.
\begin{array}{l}\phantom{44)}0034\phantom{9}\\44\overline{)150000}\\\phantom{44)}\underline{\phantom{}132\phantom{999}}\\\phantom{44)9}180\\\phantom{44)}\underline{\phantom{9}176\phantom{99}}\\\phantom{44)999}40\\\end{array}
Use the 5^{th} digit 0 from dividend 150000
\begin{array}{l}\phantom{44)}00340\phantom{10}\\44\overline{)150000}\\\phantom{44)}\underline{\phantom{}132\phantom{999}}\\\phantom{44)9}180\\\phantom{44)}\underline{\phantom{9}176\phantom{99}}\\\phantom{44)999}40\\\end{array}
Since 40 is less than 44, use the next digit 0 from dividend 150000 and add 0 to the quotient
\begin{array}{l}\phantom{44)}00340\phantom{11}\\44\overline{)150000}\\\phantom{44)}\underline{\phantom{}132\phantom{999}}\\\phantom{44)9}180\\\phantom{44)}\underline{\phantom{9}176\phantom{99}}\\\phantom{44)999}400\\\end{array}
Use the 6^{th} digit 0 from dividend 150000
\begin{array}{l}\phantom{44)}003409\phantom{12}\\44\overline{)150000}\\\phantom{44)}\underline{\phantom{}132\phantom{999}}\\\phantom{44)9}180\\\phantom{44)}\underline{\phantom{9}176\phantom{99}}\\\phantom{44)999}400\\\phantom{44)}\underline{\phantom{999}396\phantom{}}\\\phantom{44)99999}4\\\end{array}
Find closest multiple of 44 to 400. We see that 9 \times 44 = 396 is the nearest. Now subtract 396 from 400 to get reminder 4. Add 9 to quotient.
\text{Quotient: }3409 \text{Reminder: }4
Since 4 is less than 44, stop the division. The reminder is 4. The topmost line 003409 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3409.
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}