Evaluate
\frac{6200}{19}\approx 326.315789474
Factor
\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 31}{19} = 326\frac{6}{19} = 326.3157894736842
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\begin{array}{l}\phantom{475)}\phantom{1}\\475\overline{)155000}\\\end{array}
Use the 1^{st} digit 1 from dividend 155000
\begin{array}{l}\phantom{475)}0\phantom{2}\\475\overline{)155000}\\\end{array}
Since 1 is less than 475, use the next digit 5 from dividend 155000 and add 0 to the quotient
\begin{array}{l}\phantom{475)}0\phantom{3}\\475\overline{)155000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 155000
\begin{array}{l}\phantom{475)}00\phantom{4}\\475\overline{)155000}\\\end{array}
Since 15 is less than 475, use the next digit 5 from dividend 155000 and add 0 to the quotient
\begin{array}{l}\phantom{475)}00\phantom{5}\\475\overline{)155000}\\\end{array}
Use the 3^{rd} digit 5 from dividend 155000
\begin{array}{l}\phantom{475)}000\phantom{6}\\475\overline{)155000}\\\end{array}
Since 155 is less than 475, use the next digit 0 from dividend 155000 and add 0 to the quotient
\begin{array}{l}\phantom{475)}000\phantom{7}\\475\overline{)155000}\\\end{array}
Use the 4^{th} digit 0 from dividend 155000
\begin{array}{l}\phantom{475)}0003\phantom{8}\\475\overline{)155000}\\\phantom{475)}\underline{\phantom{}1425\phantom{99}}\\\phantom{475)9}125\\\end{array}
Find closest multiple of 475 to 1550. We see that 3 \times 475 = 1425 is the nearest. Now subtract 1425 from 1550 to get reminder 125. Add 3 to quotient.
\begin{array}{l}\phantom{475)}0003\phantom{9}\\475\overline{)155000}\\\phantom{475)}\underline{\phantom{}1425\phantom{99}}\\\phantom{475)9}1250\\\end{array}
Use the 5^{th} digit 0 from dividend 155000
\begin{array}{l}\phantom{475)}00032\phantom{10}\\475\overline{)155000}\\\phantom{475)}\underline{\phantom{}1425\phantom{99}}\\\phantom{475)9}1250\\\phantom{475)}\underline{\phantom{99}950\phantom{9}}\\\phantom{475)99}300\\\end{array}
Find closest multiple of 475 to 1250. We see that 2 \times 475 = 950 is the nearest. Now subtract 950 from 1250 to get reminder 300. Add 2 to quotient.
\begin{array}{l}\phantom{475)}00032\phantom{11}\\475\overline{)155000}\\\phantom{475)}\underline{\phantom{}1425\phantom{99}}\\\phantom{475)9}1250\\\phantom{475)}\underline{\phantom{99}950\phantom{9}}\\\phantom{475)99}3000\\\end{array}
Use the 6^{th} digit 0 from dividend 155000
\begin{array}{l}\phantom{475)}000326\phantom{12}\\475\overline{)155000}\\\phantom{475)}\underline{\phantom{}1425\phantom{99}}\\\phantom{475)9}1250\\\phantom{475)}\underline{\phantom{99}950\phantom{9}}\\\phantom{475)99}3000\\\phantom{475)}\underline{\phantom{99}2850\phantom{}}\\\phantom{475)999}150\\\end{array}
Find closest multiple of 475 to 3000. We see that 6 \times 475 = 2850 is the nearest. Now subtract 2850 from 3000 to get reminder 150. Add 6 to quotient.
\text{Quotient: }326 \text{Reminder: }150
Since 150 is less than 475, stop the division. The reminder is 150. The topmost line 000326 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 326.
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}