Evaluate
\frac{1389}{17}\approx 81.705882353
Factor
\frac{3 \cdot 463}{17} = 81\frac{12}{17} = 81.70588235294117
Share
Copied to clipboard
\begin{array}{l}\phantom{68)}\phantom{1}\\68\overline{)5556}\\\end{array}
Use the 1^{st} digit 5 from dividend 5556
\begin{array}{l}\phantom{68)}0\phantom{2}\\68\overline{)5556}\\\end{array}
Since 5 is less than 68, use the next digit 5 from dividend 5556 and add 0 to the quotient
\begin{array}{l}\phantom{68)}0\phantom{3}\\68\overline{)5556}\\\end{array}
Use the 2^{nd} digit 5 from dividend 5556
\begin{array}{l}\phantom{68)}00\phantom{4}\\68\overline{)5556}\\\end{array}
Since 55 is less than 68, use the next digit 5 from dividend 5556 and add 0 to the quotient
\begin{array}{l}\phantom{68)}00\phantom{5}\\68\overline{)5556}\\\end{array}
Use the 3^{rd} digit 5 from dividend 5556
\begin{array}{l}\phantom{68)}008\phantom{6}\\68\overline{)5556}\\\phantom{68)}\underline{\phantom{}544\phantom{9}}\\\phantom{68)9}11\\\end{array}
Find closest multiple of 68 to 555. We see that 8 \times 68 = 544 is the nearest. Now subtract 544 from 555 to get reminder 11. Add 8 to quotient.
\begin{array}{l}\phantom{68)}008\phantom{7}\\68\overline{)5556}\\\phantom{68)}\underline{\phantom{}544\phantom{9}}\\\phantom{68)9}116\\\end{array}
Use the 4^{th} digit 6 from dividend 5556
\begin{array}{l}\phantom{68)}0081\phantom{8}\\68\overline{)5556}\\\phantom{68)}\underline{\phantom{}544\phantom{9}}\\\phantom{68)9}116\\\phantom{68)}\underline{\phantom{99}68\phantom{}}\\\phantom{68)99}48\\\end{array}
Find closest multiple of 68 to 116. We see that 1 \times 68 = 68 is the nearest. Now subtract 68 from 116 to get reminder 48. Add 1 to quotient.
\text{Quotient: }81 \text{Reminder: }48
Since 48 is less than 68, stop the division. The reminder is 48. The topmost line 0081 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 81.
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}