Evaluate
\frac{16}{7}\approx 2.285714286
Factor
\frac{2 ^ {4}}{7} = 2\frac{2}{7} = 2.2857142857142856
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\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)128}\\\end{array}
Use the 1^{st} digit 1 from dividend 128
\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)128}\\\end{array}
Since 1 is less than 56, use the next digit 2 from dividend 128 and add 0 to the quotient
\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)128}\\\end{array}
Use the 2^{nd} digit 2 from dividend 128
\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)128}\\\end{array}
Since 12 is less than 56, use the next digit 8 from dividend 128 and add 0 to the quotient
\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)128}\\\end{array}
Use the 3^{rd} digit 8 from dividend 128
\begin{array}{l}\phantom{56)}002\phantom{6}\\56\overline{)128}\\\phantom{56)}\underline{\phantom{}112\phantom{}}\\\phantom{56)9}16\\\end{array}
Find closest multiple of 56 to 128. We see that 2 \times 56 = 112 is the nearest. Now subtract 112 from 128 to get reminder 16. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }16
Since 16 is less than 56, stop the division. The reminder is 16. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}