Evaluate
\frac{44}{7}\approx 6.285714286
Factor
\frac{2 ^ {2} \cdot 11}{7} = 6\frac{2}{7} = 6.285714285714286
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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)220}\\\end{array}
Use the 1^{st} digit 2 from dividend 220
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)220}\\\end{array}
Since 2 is less than 35, use the next digit 2 from dividend 220 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)220}\\\end{array}
Use the 2^{nd} digit 2 from dividend 220
\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)220}\\\end{array}
Since 22 is less than 35, use the next digit 0 from dividend 220 and add 0 to the quotient
\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)220}\\\end{array}
Use the 3^{rd} digit 0 from dividend 220
\begin{array}{l}\phantom{35)}006\phantom{6}\\35\overline{)220}\\\phantom{35)}\underline{\phantom{}210\phantom{}}\\\phantom{35)9}10\\\end{array}
Find closest multiple of 35 to 220. We see that 6 \times 35 = 210 is the nearest. Now subtract 210 from 220 to get reminder 10. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }10
Since 10 is less than 35, stop the division. The reminder is 10. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}