Evaluate
\frac{20000}{147}\approx 136.054421769
Factor
\frac{2 ^ {5} \cdot 5 ^ {4}}{3 \cdot 7 ^ {2}} = 136\frac{8}{147} = 136.05442176870747
Share
Copied to clipboard
\begin{array}{l}\phantom{3675)}\phantom{1}\\3675\overline{)500000}\\\end{array}
Use the 1^{st} digit 5 from dividend 500000
\begin{array}{l}\phantom{3675)}0\phantom{2}\\3675\overline{)500000}\\\end{array}
Since 5 is less than 3675, use the next digit 0 from dividend 500000 and add 0 to the quotient
\begin{array}{l}\phantom{3675)}0\phantom{3}\\3675\overline{)500000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 500000
\begin{array}{l}\phantom{3675)}00\phantom{4}\\3675\overline{)500000}\\\end{array}
Since 50 is less than 3675, use the next digit 0 from dividend 500000 and add 0 to the quotient
\begin{array}{l}\phantom{3675)}00\phantom{5}\\3675\overline{)500000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 500000
\begin{array}{l}\phantom{3675)}000\phantom{6}\\3675\overline{)500000}\\\end{array}
Since 500 is less than 3675, use the next digit 0 from dividend 500000 and add 0 to the quotient
\begin{array}{l}\phantom{3675)}000\phantom{7}\\3675\overline{)500000}\\\end{array}
Use the 4^{th} digit 0 from dividend 500000
\begin{array}{l}\phantom{3675)}0001\phantom{8}\\3675\overline{)500000}\\\phantom{3675)}\underline{\phantom{}3675\phantom{99}}\\\phantom{3675)}1325\\\end{array}
Find closest multiple of 3675 to 5000. We see that 1 \times 3675 = 3675 is the nearest. Now subtract 3675 from 5000 to get reminder 1325. Add 1 to quotient.
\begin{array}{l}\phantom{3675)}0001\phantom{9}\\3675\overline{)500000}\\\phantom{3675)}\underline{\phantom{}3675\phantom{99}}\\\phantom{3675)}13250\\\end{array}
Use the 5^{th} digit 0 from dividend 500000
\begin{array}{l}\phantom{3675)}00013\phantom{10}\\3675\overline{)500000}\\\phantom{3675)}\underline{\phantom{}3675\phantom{99}}\\\phantom{3675)}13250\\\phantom{3675)}\underline{\phantom{}11025\phantom{9}}\\\phantom{3675)9}2225\\\end{array}
Find closest multiple of 3675 to 13250. We see that 3 \times 3675 = 11025 is the nearest. Now subtract 11025 from 13250 to get reminder 2225. Add 3 to quotient.
\begin{array}{l}\phantom{3675)}00013\phantom{11}\\3675\overline{)500000}\\\phantom{3675)}\underline{\phantom{}3675\phantom{99}}\\\phantom{3675)}13250\\\phantom{3675)}\underline{\phantom{}11025\phantom{9}}\\\phantom{3675)9}22250\\\end{array}
Use the 6^{th} digit 0 from dividend 500000
\begin{array}{l}\phantom{3675)}000136\phantom{12}\\3675\overline{)500000}\\\phantom{3675)}\underline{\phantom{}3675\phantom{99}}\\\phantom{3675)}13250\\\phantom{3675)}\underline{\phantom{}11025\phantom{9}}\\\phantom{3675)9}22250\\\phantom{3675)}\underline{\phantom{9}22050\phantom{}}\\\phantom{3675)999}200\\\end{array}
Find closest multiple of 3675 to 22250. We see that 6 \times 3675 = 22050 is the nearest. Now subtract 22050 from 22250 to get reminder 200. Add 6 to quotient.
\text{Quotient: }136 \text{Reminder: }200
Since 200 is less than 3675, stop the division. The reminder is 200. The topmost line 000136 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 136.
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}