Evaluate
\frac{3553}{3184}\approx 1.11589196
Factor
\frac{11 \cdot 17 \cdot 19}{2 ^ {4} \cdot 199} = 1\frac{369}{3184} = 1.115891959798995
Share
Copied to clipboard
\begin{array}{l}\phantom{3184)}\phantom{1}\\3184\overline{)3553}\\\end{array}
Use the 1^{st} digit 3 from dividend 3553
\begin{array}{l}\phantom{3184)}0\phantom{2}\\3184\overline{)3553}\\\end{array}
Since 3 is less than 3184, use the next digit 5 from dividend 3553 and add 0 to the quotient
\begin{array}{l}\phantom{3184)}0\phantom{3}\\3184\overline{)3553}\\\end{array}
Use the 2^{nd} digit 5 from dividend 3553
\begin{array}{l}\phantom{3184)}00\phantom{4}\\3184\overline{)3553}\\\end{array}
Since 35 is less than 3184, use the next digit 5 from dividend 3553 and add 0 to the quotient
\begin{array}{l}\phantom{3184)}00\phantom{5}\\3184\overline{)3553}\\\end{array}
Use the 3^{rd} digit 5 from dividend 3553
\begin{array}{l}\phantom{3184)}000\phantom{6}\\3184\overline{)3553}\\\end{array}
Since 355 is less than 3184, use the next digit 3 from dividend 3553 and add 0 to the quotient
\begin{array}{l}\phantom{3184)}000\phantom{7}\\3184\overline{)3553}\\\end{array}
Use the 4^{th} digit 3 from dividend 3553
\begin{array}{l}\phantom{3184)}0001\phantom{8}\\3184\overline{)3553}\\\phantom{3184)}\underline{\phantom{}3184\phantom{}}\\\phantom{3184)9}369\\\end{array}
Find closest multiple of 3184 to 3553. We see that 1 \times 3184 = 3184 is the nearest. Now subtract 3184 from 3553 to get reminder 369. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }369
Since 369 is less than 3184, stop the division. The reminder is 369. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}