Evaluate
\frac{49382716}{6172839}\approx 8.000000648
Factor
\frac{2 ^ {2} \cdot 37 \cdot 333667}{3 ^ {2} \cdot 47 \cdot 14593} = 8\frac{4}{6172839} = 8.000000648000054
Share
Copied to clipboard
\begin{array}{l}\phantom{12345678)}\phantom{1}\\12345678\overline{)98765432}\\\end{array}
Use the 1^{st} digit 9 from dividend 98765432
\begin{array}{l}\phantom{12345678)}0\phantom{2}\\12345678\overline{)98765432}\\\end{array}
Since 9 is less than 12345678, use the next digit 8 from dividend 98765432 and add 0 to the quotient
\begin{array}{l}\phantom{12345678)}0\phantom{3}\\12345678\overline{)98765432}\\\end{array}
Use the 2^{nd} digit 8 from dividend 98765432
\begin{array}{l}\phantom{12345678)}00\phantom{4}\\12345678\overline{)98765432}\\\end{array}
Since 98 is less than 12345678, use the next digit 7 from dividend 98765432 and add 0 to the quotient
\begin{array}{l}\phantom{12345678)}00\phantom{5}\\12345678\overline{)98765432}\\\end{array}
Use the 3^{rd} digit 7 from dividend 98765432
\begin{array}{l}\phantom{12345678)}000\phantom{6}\\12345678\overline{)98765432}\\\end{array}
Since 987 is less than 12345678, use the next digit 6 from dividend 98765432 and add 0 to the quotient
\begin{array}{l}\phantom{12345678)}000\phantom{7}\\12345678\overline{)98765432}\\\end{array}
Use the 4^{th} digit 6 from dividend 98765432
\begin{array}{l}\phantom{12345678)}0000\phantom{8}\\12345678\overline{)98765432}\\\end{array}
Since 9876 is less than 12345678, use the next digit 5 from dividend 98765432 and add 0 to the quotient
\begin{array}{l}\phantom{12345678)}0000\phantom{9}\\12345678\overline{)98765432}\\\end{array}
Use the 5^{th} digit 5 from dividend 98765432
\begin{array}{l}\phantom{12345678)}00000\phantom{10}\\12345678\overline{)98765432}\\\end{array}
Since 98765 is less than 12345678, use the next digit 4 from dividend 98765432 and add 0 to the quotient
\begin{array}{l}\phantom{12345678)}00000\phantom{11}\\12345678\overline{)98765432}\\\end{array}
Use the 6^{th} digit 4 from dividend 98765432
\begin{array}{l}\phantom{12345678)}000000\phantom{12}\\12345678\overline{)98765432}\\\end{array}
Since 987654 is less than 12345678, use the next digit 3 from dividend 98765432 and add 0 to the quotient
\begin{array}{l}\phantom{12345678)}000000\phantom{13}\\12345678\overline{)98765432}\\\end{array}
Use the 7^{th} digit 3 from dividend 98765432
\begin{array}{l}\phantom{12345678)}0000000\phantom{14}\\12345678\overline{)98765432}\\\end{array}
Since 9876543 is less than 12345678, use the next digit 2 from dividend 98765432 and add 0 to the quotient
\begin{array}{l}\phantom{12345678)}0000000\phantom{15}\\12345678\overline{)98765432}\\\end{array}
Use the 8^{th} digit 2 from dividend 98765432
\begin{array}{l}\phantom{12345678)}00000008\phantom{16}\\12345678\overline{)98765432}\\\phantom{12345678)}\underline{\phantom{}98765424\phantom{}}\\\phantom{12345678)9999999}8\\\end{array}
Find closest multiple of 12345678 to 98765432. We see that 8 \times 12345678 = 98765424 is the nearest. Now subtract 98765424 from 98765432 to get reminder 8. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }8
Since 8 is less than 12345678, stop the division. The reminder is 8. The topmost line 00000008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}