Evaluate
\frac{53}{2}=26.5
Factor
\frac{53}{2} = 26\frac{1}{2} = 26.5
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\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)424}\\\end{array}
Use the 1^{st} digit 4 from dividend 424
\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)424}\\\end{array}
Since 4 is less than 16, use the next digit 2 from dividend 424 and add 0 to the quotient
\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)424}\\\end{array}
Use the 2^{nd} digit 2 from dividend 424
\begin{array}{l}\phantom{16)}02\phantom{4}\\16\overline{)424}\\\phantom{16)}\underline{\phantom{}32\phantom{9}}\\\phantom{16)}10\\\end{array}
Find closest multiple of 16 to 42. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 42 to get reminder 10. Add 2 to quotient.
\begin{array}{l}\phantom{16)}02\phantom{5}\\16\overline{)424}\\\phantom{16)}\underline{\phantom{}32\phantom{9}}\\\phantom{16)}104\\\end{array}
Use the 3^{rd} digit 4 from dividend 424
\begin{array}{l}\phantom{16)}026\phantom{6}\\16\overline{)424}\\\phantom{16)}\underline{\phantom{}32\phantom{9}}\\\phantom{16)}104\\\phantom{16)}\underline{\phantom{9}96\phantom{}}\\\phantom{16)99}8\\\end{array}
Find closest multiple of 16 to 104. We see that 6 \times 16 = 96 is the nearest. Now subtract 96 from 104 to get reminder 8. Add 6 to quotient.
\text{Quotient: }26 \text{Reminder: }8
Since 8 is less than 16, stop the division. The reminder is 8. The topmost line 026 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 26.
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}