Evaluate
\frac{671}{50}=13.42
Factor
\frac{11 \cdot 61}{2 \cdot 5 ^ {2}} = 13\frac{21}{50} = 13.42
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)1342}\\\end{array}
Use the 1^{st} digit 1 from dividend 1342
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)1342}\\\end{array}
Since 1 is less than 100, use the next digit 3 from dividend 1342 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)1342}\\\end{array}
Use the 2^{nd} digit 3 from dividend 1342
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)1342}\\\end{array}
Since 13 is less than 100, use the next digit 4 from dividend 1342 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)1342}\\\end{array}
Use the 3^{rd} digit 4 from dividend 1342
\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)1342}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}34\\\end{array}
Find closest multiple of 100 to 134. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 134 to get reminder 34. Add 1 to quotient.
\begin{array}{l}\phantom{100)}001\phantom{7}\\100\overline{)1342}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}342\\\end{array}
Use the 4^{th} digit 2 from dividend 1342
\begin{array}{l}\phantom{100)}0013\phantom{8}\\100\overline{)1342}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}342\\\phantom{100)}\underline{\phantom{9}300\phantom{}}\\\phantom{100)99}42\\\end{array}
Find closest multiple of 100 to 342. We see that 3 \times 100 = 300 is the nearest. Now subtract 300 from 342 to get reminder 42. Add 3 to quotient.
\text{Quotient: }13 \text{Reminder: }42
Since 42 is less than 100, stop the division. The reminder is 42. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.
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}