Evaluate
\frac{12699}{70}\approx 181.414285714
Factor
\frac{3 ^ {2} \cdot 17 \cdot 83}{2 \cdot 5 \cdot 7} = 181\frac{29}{70} = 181.4142857142857
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\begin{array}{l}\phantom{70)}\phantom{1}\\70\overline{)12699}\\\end{array}
Use the 1^{st} digit 1 from dividend 12699
\begin{array}{l}\phantom{70)}0\phantom{2}\\70\overline{)12699}\\\end{array}
Since 1 is less than 70, use the next digit 2 from dividend 12699 and add 0 to the quotient
\begin{array}{l}\phantom{70)}0\phantom{3}\\70\overline{)12699}\\\end{array}
Use the 2^{nd} digit 2 from dividend 12699
\begin{array}{l}\phantom{70)}00\phantom{4}\\70\overline{)12699}\\\end{array}
Since 12 is less than 70, use the next digit 6 from dividend 12699 and add 0 to the quotient
\begin{array}{l}\phantom{70)}00\phantom{5}\\70\overline{)12699}\\\end{array}
Use the 3^{rd} digit 6 from dividend 12699
\begin{array}{l}\phantom{70)}001\phantom{6}\\70\overline{)12699}\\\phantom{70)}\underline{\phantom{9}70\phantom{99}}\\\phantom{70)9}56\\\end{array}
Find closest multiple of 70 to 126. We see that 1 \times 70 = 70 is the nearest. Now subtract 70 from 126 to get reminder 56. Add 1 to quotient.
\begin{array}{l}\phantom{70)}001\phantom{7}\\70\overline{)12699}\\\phantom{70)}\underline{\phantom{9}70\phantom{99}}\\\phantom{70)9}569\\\end{array}
Use the 4^{th} digit 9 from dividend 12699
\begin{array}{l}\phantom{70)}0018\phantom{8}\\70\overline{)12699}\\\phantom{70)}\underline{\phantom{9}70\phantom{99}}\\\phantom{70)9}569\\\phantom{70)}\underline{\phantom{9}560\phantom{9}}\\\phantom{70)999}9\\\end{array}
Find closest multiple of 70 to 569. We see that 8 \times 70 = 560 is the nearest. Now subtract 560 from 569 to get reminder 9. Add 8 to quotient.
\begin{array}{l}\phantom{70)}0018\phantom{9}\\70\overline{)12699}\\\phantom{70)}\underline{\phantom{9}70\phantom{99}}\\\phantom{70)9}569\\\phantom{70)}\underline{\phantom{9}560\phantom{9}}\\\phantom{70)999}99\\\end{array}
Use the 5^{th} digit 9 from dividend 12699
\begin{array}{l}\phantom{70)}00181\phantom{10}\\70\overline{)12699}\\\phantom{70)}\underline{\phantom{9}70\phantom{99}}\\\phantom{70)9}569\\\phantom{70)}\underline{\phantom{9}560\phantom{9}}\\\phantom{70)999}99\\\phantom{70)}\underline{\phantom{999}70\phantom{}}\\\phantom{70)999}29\\\end{array}
Find closest multiple of 70 to 99. We see that 1 \times 70 = 70 is the nearest. Now subtract 70 from 99 to get reminder 29. Add 1 to quotient.
\text{Quotient: }181 \text{Reminder: }29
Since 29 is less than 70, stop the division. The reminder is 29. The topmost line 00181 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 181.
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}