Evaluate
\frac{781}{9}\approx 86.777777778
Factor
\frac{11 \cdot 71}{3 ^ {2}} = 86\frac{7}{9} = 86.77777777777777
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\begin{array}{l}\phantom{450)}\phantom{1}\\450\overline{)39050}\\\end{array}
Use the 1^{st} digit 3 from dividend 39050
\begin{array}{l}\phantom{450)}0\phantom{2}\\450\overline{)39050}\\\end{array}
Since 3 is less than 450, use the next digit 9 from dividend 39050 and add 0 to the quotient
\begin{array}{l}\phantom{450)}0\phantom{3}\\450\overline{)39050}\\\end{array}
Use the 2^{nd} digit 9 from dividend 39050
\begin{array}{l}\phantom{450)}00\phantom{4}\\450\overline{)39050}\\\end{array}
Since 39 is less than 450, use the next digit 0 from dividend 39050 and add 0 to the quotient
\begin{array}{l}\phantom{450)}00\phantom{5}\\450\overline{)39050}\\\end{array}
Use the 3^{rd} digit 0 from dividend 39050
\begin{array}{l}\phantom{450)}000\phantom{6}\\450\overline{)39050}\\\end{array}
Since 390 is less than 450, use the next digit 5 from dividend 39050 and add 0 to the quotient
\begin{array}{l}\phantom{450)}000\phantom{7}\\450\overline{)39050}\\\end{array}
Use the 4^{th} digit 5 from dividend 39050
\begin{array}{l}\phantom{450)}0008\phantom{8}\\450\overline{)39050}\\\phantom{450)}\underline{\phantom{}3600\phantom{9}}\\\phantom{450)9}305\\\end{array}
Find closest multiple of 450 to 3905. We see that 8 \times 450 = 3600 is the nearest. Now subtract 3600 from 3905 to get reminder 305. Add 8 to quotient.
\begin{array}{l}\phantom{450)}0008\phantom{9}\\450\overline{)39050}\\\phantom{450)}\underline{\phantom{}3600\phantom{9}}\\\phantom{450)9}3050\\\end{array}
Use the 5^{th} digit 0 from dividend 39050
\begin{array}{l}\phantom{450)}00086\phantom{10}\\450\overline{)39050}\\\phantom{450)}\underline{\phantom{}3600\phantom{9}}\\\phantom{450)9}3050\\\phantom{450)}\underline{\phantom{9}2700\phantom{}}\\\phantom{450)99}350\\\end{array}
Find closest multiple of 450 to 3050. We see that 6 \times 450 = 2700 is the nearest. Now subtract 2700 from 3050 to get reminder 350. Add 6 to quotient.
\text{Quotient: }86 \text{Reminder: }350
Since 350 is less than 450, stop the division. The reminder is 350. The topmost line 00086 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 86.
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}