Evaluate
\frac{23333333}{317}\approx 73606.728706625
Factor
\frac{17 \cdot 1372549}{317} = 73606\frac{231}{317} = 73606.7287066246
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\begin{array}{l}\phantom{951)}\phantom{1}\\951\overline{)69999999}\\\end{array}
Use the 1^{st} digit 6 from dividend 69999999
\begin{array}{l}\phantom{951)}0\phantom{2}\\951\overline{)69999999}\\\end{array}
Since 6 is less than 951, use the next digit 9 from dividend 69999999 and add 0 to the quotient
\begin{array}{l}\phantom{951)}0\phantom{3}\\951\overline{)69999999}\\\end{array}
Use the 2^{nd} digit 9 from dividend 69999999
\begin{array}{l}\phantom{951)}00\phantom{4}\\951\overline{)69999999}\\\end{array}
Since 69 is less than 951, use the next digit 9 from dividend 69999999 and add 0 to the quotient
\begin{array}{l}\phantom{951)}00\phantom{5}\\951\overline{)69999999}\\\end{array}
Use the 3^{rd} digit 9 from dividend 69999999
\begin{array}{l}\phantom{951)}000\phantom{6}\\951\overline{)69999999}\\\end{array}
Since 699 is less than 951, use the next digit 9 from dividend 69999999 and add 0 to the quotient
\begin{array}{l}\phantom{951)}000\phantom{7}\\951\overline{)69999999}\\\end{array}
Use the 4^{th} digit 9 from dividend 69999999
\begin{array}{l}\phantom{951)}0007\phantom{8}\\951\overline{)69999999}\\\phantom{951)}\underline{\phantom{}6657\phantom{9999}}\\\phantom{951)9}342\\\end{array}
Find closest multiple of 951 to 6999. We see that 7 \times 951 = 6657 is the nearest. Now subtract 6657 from 6999 to get reminder 342. Add 7 to quotient.
\begin{array}{l}\phantom{951)}0007\phantom{9}\\951\overline{)69999999}\\\phantom{951)}\underline{\phantom{}6657\phantom{9999}}\\\phantom{951)9}3429\\\end{array}
Use the 5^{th} digit 9 from dividend 69999999
\begin{array}{l}\phantom{951)}00073\phantom{10}\\951\overline{)69999999}\\\phantom{951)}\underline{\phantom{}6657\phantom{9999}}\\\phantom{951)9}3429\\\phantom{951)}\underline{\phantom{9}2853\phantom{999}}\\\phantom{951)99}576\\\end{array}
Find closest multiple of 951 to 3429. We see that 3 \times 951 = 2853 is the nearest. Now subtract 2853 from 3429 to get reminder 576. Add 3 to quotient.
\begin{array}{l}\phantom{951)}00073\phantom{11}\\951\overline{)69999999}\\\phantom{951)}\underline{\phantom{}6657\phantom{9999}}\\\phantom{951)9}3429\\\phantom{951)}\underline{\phantom{9}2853\phantom{999}}\\\phantom{951)99}5769\\\end{array}
Use the 6^{th} digit 9 from dividend 69999999
\begin{array}{l}\phantom{951)}000736\phantom{12}\\951\overline{)69999999}\\\phantom{951)}\underline{\phantom{}6657\phantom{9999}}\\\phantom{951)9}3429\\\phantom{951)}\underline{\phantom{9}2853\phantom{999}}\\\phantom{951)99}5769\\\phantom{951)}\underline{\phantom{99}5706\phantom{99}}\\\phantom{951)9999}63\\\end{array}
Find closest multiple of 951 to 5769. We see that 6 \times 951 = 5706 is the nearest. Now subtract 5706 from 5769 to get reminder 63. Add 6 to quotient.
\begin{array}{l}\phantom{951)}000736\phantom{13}\\951\overline{)69999999}\\\phantom{951)}\underline{\phantom{}6657\phantom{9999}}\\\phantom{951)9}3429\\\phantom{951)}\underline{\phantom{9}2853\phantom{999}}\\\phantom{951)99}5769\\\phantom{951)}\underline{\phantom{99}5706\phantom{99}}\\\phantom{951)9999}639\\\end{array}
Use the 7^{th} digit 9 from dividend 69999999
\begin{array}{l}\phantom{951)}0007360\phantom{14}\\951\overline{)69999999}\\\phantom{951)}\underline{\phantom{}6657\phantom{9999}}\\\phantom{951)9}3429\\\phantom{951)}\underline{\phantom{9}2853\phantom{999}}\\\phantom{951)99}5769\\\phantom{951)}\underline{\phantom{99}5706\phantom{99}}\\\phantom{951)9999}639\\\end{array}
Since 639 is less than 951, use the next digit 9 from dividend 69999999 and add 0 to the quotient
\begin{array}{l}\phantom{951)}0007360\phantom{15}\\951\overline{)69999999}\\\phantom{951)}\underline{\phantom{}6657\phantom{9999}}\\\phantom{951)9}3429\\\phantom{951)}\underline{\phantom{9}2853\phantom{999}}\\\phantom{951)99}5769\\\phantom{951)}\underline{\phantom{99}5706\phantom{99}}\\\phantom{951)9999}6399\\\end{array}
Use the 8^{th} digit 9 from dividend 69999999
\begin{array}{l}\phantom{951)}00073606\phantom{16}\\951\overline{)69999999}\\\phantom{951)}\underline{\phantom{}6657\phantom{9999}}\\\phantom{951)9}3429\\\phantom{951)}\underline{\phantom{9}2853\phantom{999}}\\\phantom{951)99}5769\\\phantom{951)}\underline{\phantom{99}5706\phantom{99}}\\\phantom{951)9999}6399\\\phantom{951)}\underline{\phantom{9999}5706\phantom{}}\\\phantom{951)99999}693\\\end{array}
Find closest multiple of 951 to 6399. We see that 6 \times 951 = 5706 is the nearest. Now subtract 5706 from 6399 to get reminder 693. Add 6 to quotient.
\text{Quotient: }73606 \text{Reminder: }693
Since 693 is less than 951, stop the division. The reminder is 693. The topmost line 00073606 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 73606.
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}