Evaluate
\frac{1063}{27}\approx 39.37037037
Factor
\frac{1063}{3 ^ {3}} = 39\frac{10}{27} = 39.370370370370374
Share
Copied to clipboard
\begin{array}{l}\phantom{81)}\phantom{1}\\81\overline{)3189}\\\end{array}
Use the 1^{st} digit 3 from dividend 3189
\begin{array}{l}\phantom{81)}0\phantom{2}\\81\overline{)3189}\\\end{array}
Since 3 is less than 81, use the next digit 1 from dividend 3189 and add 0 to the quotient
\begin{array}{l}\phantom{81)}0\phantom{3}\\81\overline{)3189}\\\end{array}
Use the 2^{nd} digit 1 from dividend 3189
\begin{array}{l}\phantom{81)}00\phantom{4}\\81\overline{)3189}\\\end{array}
Since 31 is less than 81, use the next digit 8 from dividend 3189 and add 0 to the quotient
\begin{array}{l}\phantom{81)}00\phantom{5}\\81\overline{)3189}\\\end{array}
Use the 3^{rd} digit 8 from dividend 3189
\begin{array}{l}\phantom{81)}003\phantom{6}\\81\overline{)3189}\\\phantom{81)}\underline{\phantom{}243\phantom{9}}\\\phantom{81)9}75\\\end{array}
Find closest multiple of 81 to 318. We see that 3 \times 81 = 243 is the nearest. Now subtract 243 from 318 to get reminder 75. Add 3 to quotient.
\begin{array}{l}\phantom{81)}003\phantom{7}\\81\overline{)3189}\\\phantom{81)}\underline{\phantom{}243\phantom{9}}\\\phantom{81)9}759\\\end{array}
Use the 4^{th} digit 9 from dividend 3189
\begin{array}{l}\phantom{81)}0039\phantom{8}\\81\overline{)3189}\\\phantom{81)}\underline{\phantom{}243\phantom{9}}\\\phantom{81)9}759\\\phantom{81)}\underline{\phantom{9}729\phantom{}}\\\phantom{81)99}30\\\end{array}
Find closest multiple of 81 to 759. We see that 9 \times 81 = 729 is the nearest. Now subtract 729 from 759 to get reminder 30. Add 9 to quotient.
\text{Quotient: }39 \text{Reminder: }30
Since 30 is less than 81, stop the division. The reminder is 30. The topmost line 0039 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 39.
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}