Evaluate
\frac{525622}{2151}\approx 244.361692236
Factor
\frac{2 \cdot 37 \cdot 7103}{3 ^ {2} \cdot 239} = 244\frac{778}{2151} = 244.36169223616923
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\begin{array}{l}\phantom{2151)}\phantom{1}\\2151\overline{)525622}\\\end{array}
Use the 1^{st} digit 5 from dividend 525622
\begin{array}{l}\phantom{2151)}0\phantom{2}\\2151\overline{)525622}\\\end{array}
Since 5 is less than 2151, use the next digit 2 from dividend 525622 and add 0 to the quotient
\begin{array}{l}\phantom{2151)}0\phantom{3}\\2151\overline{)525622}\\\end{array}
Use the 2^{nd} digit 2 from dividend 525622
\begin{array}{l}\phantom{2151)}00\phantom{4}\\2151\overline{)525622}\\\end{array}
Since 52 is less than 2151, use the next digit 5 from dividend 525622 and add 0 to the quotient
\begin{array}{l}\phantom{2151)}00\phantom{5}\\2151\overline{)525622}\\\end{array}
Use the 3^{rd} digit 5 from dividend 525622
\begin{array}{l}\phantom{2151)}000\phantom{6}\\2151\overline{)525622}\\\end{array}
Since 525 is less than 2151, use the next digit 6 from dividend 525622 and add 0 to the quotient
\begin{array}{l}\phantom{2151)}000\phantom{7}\\2151\overline{)525622}\\\end{array}
Use the 4^{th} digit 6 from dividend 525622
\begin{array}{l}\phantom{2151)}0002\phantom{8}\\2151\overline{)525622}\\\phantom{2151)}\underline{\phantom{}4302\phantom{99}}\\\phantom{2151)9}954\\\end{array}
Find closest multiple of 2151 to 5256. We see that 2 \times 2151 = 4302 is the nearest. Now subtract 4302 from 5256 to get reminder 954. Add 2 to quotient.
\begin{array}{l}\phantom{2151)}0002\phantom{9}\\2151\overline{)525622}\\\phantom{2151)}\underline{\phantom{}4302\phantom{99}}\\\phantom{2151)9}9542\\\end{array}
Use the 5^{th} digit 2 from dividend 525622
\begin{array}{l}\phantom{2151)}00024\phantom{10}\\2151\overline{)525622}\\\phantom{2151)}\underline{\phantom{}4302\phantom{99}}\\\phantom{2151)9}9542\\\phantom{2151)}\underline{\phantom{9}8604\phantom{9}}\\\phantom{2151)99}938\\\end{array}
Find closest multiple of 2151 to 9542. We see that 4 \times 2151 = 8604 is the nearest. Now subtract 8604 from 9542 to get reminder 938. Add 4 to quotient.
\begin{array}{l}\phantom{2151)}00024\phantom{11}\\2151\overline{)525622}\\\phantom{2151)}\underline{\phantom{}4302\phantom{99}}\\\phantom{2151)9}9542\\\phantom{2151)}\underline{\phantom{9}8604\phantom{9}}\\\phantom{2151)99}9382\\\end{array}
Use the 6^{th} digit 2 from dividend 525622
\begin{array}{l}\phantom{2151)}000244\phantom{12}\\2151\overline{)525622}\\\phantom{2151)}\underline{\phantom{}4302\phantom{99}}\\\phantom{2151)9}9542\\\phantom{2151)}\underline{\phantom{9}8604\phantom{9}}\\\phantom{2151)99}9382\\\phantom{2151)}\underline{\phantom{99}8604\phantom{}}\\\phantom{2151)999}778\\\end{array}
Find closest multiple of 2151 to 9382. We see that 4 \times 2151 = 8604 is the nearest. Now subtract 8604 from 9382 to get reminder 778. Add 4 to quotient.
\text{Quotient: }244 \text{Reminder: }778
Since 778 is less than 2151, stop the division. The reminder is 778. The topmost line 000244 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 244.
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}