Evaluate
16
Factor
2^{4}
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\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)448}\\\end{array}
Use the 1^{st} digit 4 from dividend 448
\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)448}\\\end{array}
Since 4 is less than 28, use the next digit 4 from dividend 448 and add 0 to the quotient
\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)448}\\\end{array}
Use the 2^{nd} digit 4 from dividend 448
\begin{array}{l}\phantom{28)}01\phantom{4}\\28\overline{)448}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)}16\\\end{array}
Find closest multiple of 28 to 44. We see that 1 \times 28 = 28 is the nearest. Now subtract 28 from 44 to get reminder 16. Add 1 to quotient.
\begin{array}{l}\phantom{28)}01\phantom{5}\\28\overline{)448}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)}168\\\end{array}
Use the 3^{rd} digit 8 from dividend 448
\begin{array}{l}\phantom{28)}016\phantom{6}\\28\overline{)448}\\\phantom{28)}\underline{\phantom{}28\phantom{9}}\\\phantom{28)}168\\\phantom{28)}\underline{\phantom{}168\phantom{}}\\\phantom{28)999}0\\\end{array}
Find closest multiple of 28 to 168. We see that 6 \times 28 = 168 is the nearest. Now subtract 168 from 168 to get reminder 0. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }0
Since 0 is less than 28, stop the division. The reminder is 0. The topmost line 016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
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}