Evaluate
\frac{1483}{40}=37.075
Factor
\frac{1483}{2 ^ {3} \cdot 5} = 37\frac{3}{40} = 37.075
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\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)1483}\\\end{array}
Use the 1^{st} digit 1 from dividend 1483
\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)1483}\\\end{array}
Since 1 is less than 40, use the next digit 4 from dividend 1483 and add 0 to the quotient
\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)1483}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1483
\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)1483}\\\end{array}
Since 14 is less than 40, use the next digit 8 from dividend 1483 and add 0 to the quotient
\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)1483}\\\end{array}
Use the 3^{rd} digit 8 from dividend 1483
\begin{array}{l}\phantom{40)}003\phantom{6}\\40\overline{)1483}\\\phantom{40)}\underline{\phantom{}120\phantom{9}}\\\phantom{40)9}28\\\end{array}
Find closest multiple of 40 to 148. We see that 3 \times 40 = 120 is the nearest. Now subtract 120 from 148 to get reminder 28. Add 3 to quotient.
\begin{array}{l}\phantom{40)}003\phantom{7}\\40\overline{)1483}\\\phantom{40)}\underline{\phantom{}120\phantom{9}}\\\phantom{40)9}283\\\end{array}
Use the 4^{th} digit 3 from dividend 1483
\begin{array}{l}\phantom{40)}0037\phantom{8}\\40\overline{)1483}\\\phantom{40)}\underline{\phantom{}120\phantom{9}}\\\phantom{40)9}283\\\phantom{40)}\underline{\phantom{9}280\phantom{}}\\\phantom{40)999}3\\\end{array}
Find closest multiple of 40 to 283. We see that 7 \times 40 = 280 is the nearest. Now subtract 280 from 283 to get reminder 3. Add 7 to quotient.
\text{Quotient: }37 \text{Reminder: }3
Since 3 is less than 40, stop the division. The reminder is 3. The topmost line 0037 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 37.
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}