Evaluate
5
Factor
5
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\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)160}\\\end{array}
Use the 1^{st} digit 1 from dividend 160
\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)160}\\\end{array}
Since 1 is less than 32, use the next digit 6 from dividend 160 and add 0 to the quotient
\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)160}\\\end{array}
Use the 2^{nd} digit 6 from dividend 160
\begin{array}{l}\phantom{32)}00\phantom{4}\\32\overline{)160}\\\end{array}
Since 16 is less than 32, use the next digit 0 from dividend 160 and add 0 to the quotient
\begin{array}{l}\phantom{32)}00\phantom{5}\\32\overline{)160}\\\end{array}
Use the 3^{rd} digit 0 from dividend 160
\begin{array}{l}\phantom{32)}005\phantom{6}\\32\overline{)160}\\\phantom{32)}\underline{\phantom{}160\phantom{}}\\\phantom{32)999}0\\\end{array}
Find closest multiple of 32 to 160. We see that 5 \times 32 = 160 is the nearest. Now subtract 160 from 160 to get reminder 0. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }0
Since 0 is less than 32, stop the division. The reminder is 0. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}