Evaluate
\frac{45}{2}=22.5
Factor
\frac{3 ^ {2} \cdot 5}{2} = 22\frac{1}{2} = 22.5
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\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)360}\\\end{array}
Use the 1^{st} digit 3 from dividend 360
\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)360}\\\end{array}
Since 3 is less than 16, use the next digit 6 from dividend 360 and add 0 to the quotient
\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)360}\\\end{array}
Use the 2^{nd} digit 6 from dividend 360
\begin{array}{l}\phantom{16)}02\phantom{4}\\16\overline{)360}\\\phantom{16)}\underline{\phantom{}32\phantom{9}}\\\phantom{16)9}4\\\end{array}
Find closest multiple of 16 to 36. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 36 to get reminder 4. Add 2 to quotient.
\begin{array}{l}\phantom{16)}02\phantom{5}\\16\overline{)360}\\\phantom{16)}\underline{\phantom{}32\phantom{9}}\\\phantom{16)9}40\\\end{array}
Use the 3^{rd} digit 0 from dividend 360
\begin{array}{l}\phantom{16)}022\phantom{6}\\16\overline{)360}\\\phantom{16)}\underline{\phantom{}32\phantom{9}}\\\phantom{16)9}40\\\phantom{16)}\underline{\phantom{9}32\phantom{}}\\\phantom{16)99}8\\\end{array}
Find closest multiple of 16 to 40. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 40 to get reminder 8. Add 2 to quotient.
\text{Quotient: }22 \text{Reminder: }8
Since 8 is less than 16, stop the division. The reminder is 8. The topmost line 022 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22.
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}