Evaluate
\frac{600}{19}\approx 31.578947368
Factor
\frac{2 ^ {3} \cdot 3 \cdot 5 ^ {2}}{19} = 31\frac{11}{19} = 31.57894736842105
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\begin{array}{l}\phantom{380)}\phantom{1}\\380\overline{)12000}\\\end{array}
Use the 1^{st} digit 1 from dividend 12000
\begin{array}{l}\phantom{380)}0\phantom{2}\\380\overline{)12000}\\\end{array}
Since 1 is less than 380, use the next digit 2 from dividend 12000 and add 0 to the quotient
\begin{array}{l}\phantom{380)}0\phantom{3}\\380\overline{)12000}\\\end{array}
Use the 2^{nd} digit 2 from dividend 12000
\begin{array}{l}\phantom{380)}00\phantom{4}\\380\overline{)12000}\\\end{array}
Since 12 is less than 380, use the next digit 0 from dividend 12000 and add 0 to the quotient
\begin{array}{l}\phantom{380)}00\phantom{5}\\380\overline{)12000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 12000
\begin{array}{l}\phantom{380)}000\phantom{6}\\380\overline{)12000}\\\end{array}
Since 120 is less than 380, use the next digit 0 from dividend 12000 and add 0 to the quotient
\begin{array}{l}\phantom{380)}000\phantom{7}\\380\overline{)12000}\\\end{array}
Use the 4^{th} digit 0 from dividend 12000
\begin{array}{l}\phantom{380)}0003\phantom{8}\\380\overline{)12000}\\\phantom{380)}\underline{\phantom{}1140\phantom{9}}\\\phantom{380)99}60\\\end{array}
Find closest multiple of 380 to 1200. We see that 3 \times 380 = 1140 is the nearest. Now subtract 1140 from 1200 to get reminder 60. Add 3 to quotient.
\begin{array}{l}\phantom{380)}0003\phantom{9}\\380\overline{)12000}\\\phantom{380)}\underline{\phantom{}1140\phantom{9}}\\\phantom{380)99}600\\\end{array}
Use the 5^{th} digit 0 from dividend 12000
\begin{array}{l}\phantom{380)}00031\phantom{10}\\380\overline{)12000}\\\phantom{380)}\underline{\phantom{}1140\phantom{9}}\\\phantom{380)99}600\\\phantom{380)}\underline{\phantom{99}380\phantom{}}\\\phantom{380)99}220\\\end{array}
Find closest multiple of 380 to 600. We see that 1 \times 380 = 380 is the nearest. Now subtract 380 from 600 to get reminder 220. Add 1 to quotient.
\text{Quotient: }31 \text{Reminder: }220
Since 220 is less than 380, stop the division. The reminder is 220. The topmost line 00031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.
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}