Evaluate
\frac{33254185}{29657701}\approx 1.121266446
Factor
\frac{5 \cdot 6650837}{109 \cdot 241 \cdot 1129} = 1\frac{3596484}{29657701} = 1.121266446107876
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\begin{array}{l}\phantom{29657701)}\phantom{1}\\29657701\overline{)33254185}\\\end{array}
Use the 1^{st} digit 3 from dividend 33254185
\begin{array}{l}\phantom{29657701)}0\phantom{2}\\29657701\overline{)33254185}\\\end{array}
Since 3 is less than 29657701, use the next digit 3 from dividend 33254185 and add 0 to the quotient
\begin{array}{l}\phantom{29657701)}0\phantom{3}\\29657701\overline{)33254185}\\\end{array}
Use the 2^{nd} digit 3 from dividend 33254185
\begin{array}{l}\phantom{29657701)}00\phantom{4}\\29657701\overline{)33254185}\\\end{array}
Since 33 is less than 29657701, use the next digit 2 from dividend 33254185 and add 0 to the quotient
\begin{array}{l}\phantom{29657701)}00\phantom{5}\\29657701\overline{)33254185}\\\end{array}
Use the 3^{rd} digit 2 from dividend 33254185
\begin{array}{l}\phantom{29657701)}000\phantom{6}\\29657701\overline{)33254185}\\\end{array}
Since 332 is less than 29657701, use the next digit 5 from dividend 33254185 and add 0 to the quotient
\begin{array}{l}\phantom{29657701)}000\phantom{7}\\29657701\overline{)33254185}\\\end{array}
Use the 4^{th} digit 5 from dividend 33254185
\begin{array}{l}\phantom{29657701)}0000\phantom{8}\\29657701\overline{)33254185}\\\end{array}
Since 3325 is less than 29657701, use the next digit 4 from dividend 33254185 and add 0 to the quotient
\begin{array}{l}\phantom{29657701)}0000\phantom{9}\\29657701\overline{)33254185}\\\end{array}
Use the 5^{th} digit 4 from dividend 33254185
\begin{array}{l}\phantom{29657701)}00000\phantom{10}\\29657701\overline{)33254185}\\\end{array}
Since 33254 is less than 29657701, use the next digit 1 from dividend 33254185 and add 0 to the quotient
\begin{array}{l}\phantom{29657701)}00000\phantom{11}\\29657701\overline{)33254185}\\\end{array}
Use the 6^{th} digit 1 from dividend 33254185
\begin{array}{l}\phantom{29657701)}000000\phantom{12}\\29657701\overline{)33254185}\\\end{array}
Since 332541 is less than 29657701, use the next digit 8 from dividend 33254185 and add 0 to the quotient
\begin{array}{l}\phantom{29657701)}000000\phantom{13}\\29657701\overline{)33254185}\\\end{array}
Use the 7^{th} digit 8 from dividend 33254185
\begin{array}{l}\phantom{29657701)}0000000\phantom{14}\\29657701\overline{)33254185}\\\end{array}
Since 3325418 is less than 29657701, use the next digit 5 from dividend 33254185 and add 0 to the quotient
\begin{array}{l}\phantom{29657701)}0000000\phantom{15}\\29657701\overline{)33254185}\\\end{array}
Use the 8^{th} digit 5 from dividend 33254185
\begin{array}{l}\phantom{29657701)}00000001\phantom{16}\\29657701\overline{)33254185}\\\phantom{29657701)}\underline{\phantom{}29657701\phantom{}}\\\phantom{29657701)9}3596484\\\end{array}
Find closest multiple of 29657701 to 33254185. We see that 1 \times 29657701 = 29657701 is the nearest. Now subtract 29657701 from 33254185 to get reminder 3596484. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }3596484
Since 3596484 is less than 29657701, stop the division. The reminder is 3596484. The topmost line 00000001 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}