Evaluate
\frac{1660}{9}\approx 184.444444444
Factor
\frac{2 ^ {2} \cdot 5 \cdot 83}{3 ^ {2}} = 184\frac{4}{9} = 184.44444444444446
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\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)3320}\\\end{array}
Use the 1^{st} digit 3 from dividend 3320
\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)3320}\\\end{array}
Since 3 is less than 18, use the next digit 3 from dividend 3320 and add 0 to the quotient
\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)3320}\\\end{array}
Use the 2^{nd} digit 3 from dividend 3320
\begin{array}{l}\phantom{18)}01\phantom{4}\\18\overline{)3320}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)}15\\\end{array}
Find closest multiple of 18 to 33. We see that 1 \times 18 = 18 is the nearest. Now subtract 18 from 33 to get reminder 15. Add 1 to quotient.
\begin{array}{l}\phantom{18)}01\phantom{5}\\18\overline{)3320}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)}152\\\end{array}
Use the 3^{rd} digit 2 from dividend 3320
\begin{array}{l}\phantom{18)}018\phantom{6}\\18\overline{)3320}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)}152\\\phantom{18)}\underline{\phantom{}144\phantom{9}}\\\phantom{18)99}8\\\end{array}
Find closest multiple of 18 to 152. We see that 8 \times 18 = 144 is the nearest. Now subtract 144 from 152 to get reminder 8. Add 8 to quotient.
\begin{array}{l}\phantom{18)}018\phantom{7}\\18\overline{)3320}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)}152\\\phantom{18)}\underline{\phantom{}144\phantom{9}}\\\phantom{18)99}80\\\end{array}
Use the 4^{th} digit 0 from dividend 3320
\begin{array}{l}\phantom{18)}0184\phantom{8}\\18\overline{)3320}\\\phantom{18)}\underline{\phantom{}18\phantom{99}}\\\phantom{18)}152\\\phantom{18)}\underline{\phantom{}144\phantom{9}}\\\phantom{18)99}80\\\phantom{18)}\underline{\phantom{99}72\phantom{}}\\\phantom{18)999}8\\\end{array}
Find closest multiple of 18 to 80. We see that 4 \times 18 = 72 is the nearest. Now subtract 72 from 80 to get reminder 8. Add 4 to quotient.
\text{Quotient: }184 \text{Reminder: }8
Since 8 is less than 18, stop the division. The reminder is 8. The topmost line 0184 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 184.
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}