Evaluate
3
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\begin{array}{l}\phantom{380)}\phantom{1}\\380\overline{)1140}\\\end{array}
Use the 1^{st} digit 1 from dividend 1140
\begin{array}{l}\phantom{380)}0\phantom{2}\\380\overline{)1140}\\\end{array}
Since 1 is less than 380, use the next digit 1 from dividend 1140 and add 0 to the quotient
\begin{array}{l}\phantom{380)}0\phantom{3}\\380\overline{)1140}\\\end{array}
Use the 2^{nd} digit 1 from dividend 1140
\begin{array}{l}\phantom{380)}00\phantom{4}\\380\overline{)1140}\\\end{array}
Since 11 is less than 380, use the next digit 4 from dividend 1140 and add 0 to the quotient
\begin{array}{l}\phantom{380)}00\phantom{5}\\380\overline{)1140}\\\end{array}
Use the 3^{rd} digit 4 from dividend 1140
\begin{array}{l}\phantom{380)}000\phantom{6}\\380\overline{)1140}\\\end{array}
Since 114 is less than 380, use the next digit 0 from dividend 1140 and add 0 to the quotient
\begin{array}{l}\phantom{380)}000\phantom{7}\\380\overline{)1140}\\\end{array}
Use the 4^{th} digit 0 from dividend 1140
\begin{array}{l}\phantom{380)}0003\phantom{8}\\380\overline{)1140}\\\phantom{380)}\underline{\phantom{}1140\phantom{}}\\\phantom{380)9999}0\\\end{array}
Find closest multiple of 380 to 1140. We see that 3 \times 380 = 1140 is the nearest. Now subtract 1140 from 1140 to get reminder 0. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }0
Since 0 is less than 380, stop the division. The reminder is 0. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}