Evaluate
\frac{69}{8}=8.625
Factor
\frac{3 \cdot 23}{2 ^ {3}} = 8\frac{5}{8} = 8.625
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\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)138}\\\end{array}
Use the 1^{st} digit 1 from dividend 138
\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)138}\\\end{array}
Since 1 is less than 16, use the next digit 3 from dividend 138 and add 0 to the quotient
\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)138}\\\end{array}
Use the 2^{nd} digit 3 from dividend 138
\begin{array}{l}\phantom{16)}00\phantom{4}\\16\overline{)138}\\\end{array}
Since 13 is less than 16, use the next digit 8 from dividend 138 and add 0 to the quotient
\begin{array}{l}\phantom{16)}00\phantom{5}\\16\overline{)138}\\\end{array}
Use the 3^{rd} digit 8 from dividend 138
\begin{array}{l}\phantom{16)}008\phantom{6}\\16\overline{)138}\\\phantom{16)}\underline{\phantom{}128\phantom{}}\\\phantom{16)9}10\\\end{array}
Find closest multiple of 16 to 138. We see that 8 \times 16 = 128 is the nearest. Now subtract 128 from 138 to get reminder 10. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }10
Since 10 is less than 16, stop the division. The reminder is 10. The topmost line 008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}