Evaluate
\frac{336}{5}=67.2
Factor
\frac{2 ^ {4} \cdot 3 \cdot 7}{5} = 67\frac{1}{5} = 67.2
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)1344}\\\end{array}
Use the 1^{st} digit 1 from dividend 1344
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)1344}\\\end{array}
Since 1 is less than 20, use the next digit 3 from dividend 1344 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)1344}\\\end{array}
Use the 2^{nd} digit 3 from dividend 1344
\begin{array}{l}\phantom{20)}00\phantom{4}\\20\overline{)1344}\\\end{array}
Since 13 is less than 20, use the next digit 4 from dividend 1344 and add 0 to the quotient
\begin{array}{l}\phantom{20)}00\phantom{5}\\20\overline{)1344}\\\end{array}
Use the 3^{rd} digit 4 from dividend 1344
\begin{array}{l}\phantom{20)}006\phantom{6}\\20\overline{)1344}\\\phantom{20)}\underline{\phantom{}120\phantom{9}}\\\phantom{20)9}14\\\end{array}
Find closest multiple of 20 to 134. We see that 6 \times 20 = 120 is the nearest. Now subtract 120 from 134 to get reminder 14. Add 6 to quotient.
\begin{array}{l}\phantom{20)}006\phantom{7}\\20\overline{)1344}\\\phantom{20)}\underline{\phantom{}120\phantom{9}}\\\phantom{20)9}144\\\end{array}
Use the 4^{th} digit 4 from dividend 1344
\begin{array}{l}\phantom{20)}0067\phantom{8}\\20\overline{)1344}\\\phantom{20)}\underline{\phantom{}120\phantom{9}}\\\phantom{20)9}144\\\phantom{20)}\underline{\phantom{9}140\phantom{}}\\\phantom{20)999}4\\\end{array}
Find closest multiple of 20 to 144. We see that 7 \times 20 = 140 is the nearest. Now subtract 140 from 144 to get reminder 4. Add 7 to quotient.
\text{Quotient: }67 \text{Reminder: }4
Since 4 is less than 20, stop the division. The reminder is 4. The topmost line 0067 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 67.
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}