Evaluate
99
Factor
3^{2}\times 11
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\begin{array}{l}\phantom{3509)}\phantom{1}\\3509\overline{)347391}\\\end{array}
Use the 1^{st} digit 3 from dividend 347391
\begin{array}{l}\phantom{3509)}0\phantom{2}\\3509\overline{)347391}\\\end{array}
Since 3 is less than 3509, use the next digit 4 from dividend 347391 and add 0 to the quotient
\begin{array}{l}\phantom{3509)}0\phantom{3}\\3509\overline{)347391}\\\end{array}
Use the 2^{nd} digit 4 from dividend 347391
\begin{array}{l}\phantom{3509)}00\phantom{4}\\3509\overline{)347391}\\\end{array}
Since 34 is less than 3509, use the next digit 7 from dividend 347391 and add 0 to the quotient
\begin{array}{l}\phantom{3509)}00\phantom{5}\\3509\overline{)347391}\\\end{array}
Use the 3^{rd} digit 7 from dividend 347391
\begin{array}{l}\phantom{3509)}000\phantom{6}\\3509\overline{)347391}\\\end{array}
Since 347 is less than 3509, use the next digit 3 from dividend 347391 and add 0 to the quotient
\begin{array}{l}\phantom{3509)}000\phantom{7}\\3509\overline{)347391}\\\end{array}
Use the 4^{th} digit 3 from dividend 347391
\begin{array}{l}\phantom{3509)}0000\phantom{8}\\3509\overline{)347391}\\\end{array}
Since 3473 is less than 3509, use the next digit 9 from dividend 347391 and add 0 to the quotient
\begin{array}{l}\phantom{3509)}0000\phantom{9}\\3509\overline{)347391}\\\end{array}
Use the 5^{th} digit 9 from dividend 347391
\begin{array}{l}\phantom{3509)}00009\phantom{10}\\3509\overline{)347391}\\\phantom{3509)}\underline{\phantom{}31581\phantom{9}}\\\phantom{3509)9}3158\\\end{array}
Find closest multiple of 3509 to 34739. We see that 9 \times 3509 = 31581 is the nearest. Now subtract 31581 from 34739 to get reminder 3158. Add 9 to quotient.
\begin{array}{l}\phantom{3509)}00009\phantom{11}\\3509\overline{)347391}\\\phantom{3509)}\underline{\phantom{}31581\phantom{9}}\\\phantom{3509)9}31581\\\end{array}
Use the 6^{th} digit 1 from dividend 347391
\begin{array}{l}\phantom{3509)}000099\phantom{12}\\3509\overline{)347391}\\\phantom{3509)}\underline{\phantom{}31581\phantom{9}}\\\phantom{3509)9}31581\\\phantom{3509)}\underline{\phantom{9}31581\phantom{}}\\\phantom{3509)999999}0\\\end{array}
Find closest multiple of 3509 to 31581. We see that 9 \times 3509 = 31581 is the nearest. Now subtract 31581 from 31581 to get reminder 0. Add 9 to quotient.
\text{Quotient: }99 \text{Reminder: }0
Since 0 is less than 3509, stop the division. The reminder is 0. The topmost line 000099 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 99.
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}