Evaluate
\frac{1043}{5}=208.6
Factor
\frac{7 \cdot 149}{5} = 208\frac{3}{5} = 208.6
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)3129}\\\end{array}
Use the 1^{st} digit 3 from dividend 3129
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)3129}\\\end{array}
Since 3 is less than 15, use the next digit 1 from dividend 3129 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)3129}\\\end{array}
Use the 2^{nd} digit 1 from dividend 3129
\begin{array}{l}\phantom{15)}02\phantom{4}\\15\overline{)3129}\\\phantom{15)}\underline{\phantom{}30\phantom{99}}\\\phantom{15)9}1\\\end{array}
Find closest multiple of 15 to 31. We see that 2 \times 15 = 30 is the nearest. Now subtract 30 from 31 to get reminder 1. Add 2 to quotient.
\begin{array}{l}\phantom{15)}02\phantom{5}\\15\overline{)3129}\\\phantom{15)}\underline{\phantom{}30\phantom{99}}\\\phantom{15)9}12\\\end{array}
Use the 3^{rd} digit 2 from dividend 3129
\begin{array}{l}\phantom{15)}020\phantom{6}\\15\overline{)3129}\\\phantom{15)}\underline{\phantom{}30\phantom{99}}\\\phantom{15)9}12\\\end{array}
Since 12 is less than 15, use the next digit 9 from dividend 3129 and add 0 to the quotient
\begin{array}{l}\phantom{15)}020\phantom{7}\\15\overline{)3129}\\\phantom{15)}\underline{\phantom{}30\phantom{99}}\\\phantom{15)9}129\\\end{array}
Use the 4^{th} digit 9 from dividend 3129
\begin{array}{l}\phantom{15)}0208\phantom{8}\\15\overline{)3129}\\\phantom{15)}\underline{\phantom{}30\phantom{99}}\\\phantom{15)9}129\\\phantom{15)}\underline{\phantom{9}120\phantom{}}\\\phantom{15)999}9\\\end{array}
Find closest multiple of 15 to 129. We see that 8 \times 15 = 120 is the nearest. Now subtract 120 from 129 to get reminder 9. Add 8 to quotient.
\text{Quotient: }208 \text{Reminder: }9
Since 9 is less than 15, stop the division. The reminder is 9. The topmost line 0208 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 208.
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}