Evaluate
\frac{70000}{2769}\approx 25.279884435
Factor
\frac{2 ^ {4} \cdot 5 ^ {4} \cdot 7}{3 \cdot 13 \cdot 71} = 25\frac{775}{2769} = 25.27988443481401
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\begin{array}{l}\phantom{27690)}\phantom{1}\\27690\overline{)700000}\\\end{array}
Use the 1^{st} digit 7 from dividend 700000
\begin{array}{l}\phantom{27690)}0\phantom{2}\\27690\overline{)700000}\\\end{array}
Since 7 is less than 27690, use the next digit 0 from dividend 700000 and add 0 to the quotient
\begin{array}{l}\phantom{27690)}0\phantom{3}\\27690\overline{)700000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 700000
\begin{array}{l}\phantom{27690)}00\phantom{4}\\27690\overline{)700000}\\\end{array}
Since 70 is less than 27690, use the next digit 0 from dividend 700000 and add 0 to the quotient
\begin{array}{l}\phantom{27690)}00\phantom{5}\\27690\overline{)700000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 700000
\begin{array}{l}\phantom{27690)}000\phantom{6}\\27690\overline{)700000}\\\end{array}
Since 700 is less than 27690, use the next digit 0 from dividend 700000 and add 0 to the quotient
\begin{array}{l}\phantom{27690)}000\phantom{7}\\27690\overline{)700000}\\\end{array}
Use the 4^{th} digit 0 from dividend 700000
\begin{array}{l}\phantom{27690)}0000\phantom{8}\\27690\overline{)700000}\\\end{array}
Since 7000 is less than 27690, use the next digit 0 from dividend 700000 and add 0 to the quotient
\begin{array}{l}\phantom{27690)}0000\phantom{9}\\27690\overline{)700000}\\\end{array}
Use the 5^{th} digit 0 from dividend 700000
\begin{array}{l}\phantom{27690)}00002\phantom{10}\\27690\overline{)700000}\\\phantom{27690)}\underline{\phantom{}55380\phantom{9}}\\\phantom{27690)}14620\\\end{array}
Find closest multiple of 27690 to 70000. We see that 2 \times 27690 = 55380 is the nearest. Now subtract 55380 from 70000 to get reminder 14620. Add 2 to quotient.
\begin{array}{l}\phantom{27690)}00002\phantom{11}\\27690\overline{)700000}\\\phantom{27690)}\underline{\phantom{}55380\phantom{9}}\\\phantom{27690)}146200\\\end{array}
Use the 6^{th} digit 0 from dividend 700000
\begin{array}{l}\phantom{27690)}000025\phantom{12}\\27690\overline{)700000}\\\phantom{27690)}\underline{\phantom{}55380\phantom{9}}\\\phantom{27690)}146200\\\phantom{27690)}\underline{\phantom{}138450\phantom{}}\\\phantom{27690)99}7750\\\end{array}
Find closest multiple of 27690 to 146200. We see that 5 \times 27690 = 138450 is the nearest. Now subtract 138450 from 146200 to get reminder 7750. Add 5 to quotient.
\text{Quotient: }25 \text{Reminder: }7750
Since 7750 is less than 27690, stop the division. The reminder is 7750. The topmost line 000025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.
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}