Evaluate
\frac{515}{43}\approx 11.976744186
Factor
\frac{5 \cdot 103}{43} = 11\frac{42}{43} = 11.976744186046512
Share
Copied to clipboard
\begin{array}{l}\phantom{86)}\phantom{1}\\86\overline{)1030}\\\end{array}
Use the 1^{st} digit 1 from dividend 1030
\begin{array}{l}\phantom{86)}0\phantom{2}\\86\overline{)1030}\\\end{array}
Since 1 is less than 86, use the next digit 0 from dividend 1030 and add 0 to the quotient
\begin{array}{l}\phantom{86)}0\phantom{3}\\86\overline{)1030}\\\end{array}
Use the 2^{nd} digit 0 from dividend 1030
\begin{array}{l}\phantom{86)}00\phantom{4}\\86\overline{)1030}\\\end{array}
Since 10 is less than 86, use the next digit 3 from dividend 1030 and add 0 to the quotient
\begin{array}{l}\phantom{86)}00\phantom{5}\\86\overline{)1030}\\\end{array}
Use the 3^{rd} digit 3 from dividend 1030
\begin{array}{l}\phantom{86)}001\phantom{6}\\86\overline{)1030}\\\phantom{86)}\underline{\phantom{9}86\phantom{9}}\\\phantom{86)9}17\\\end{array}
Find closest multiple of 86 to 103. We see that 1 \times 86 = 86 is the nearest. Now subtract 86 from 103 to get reminder 17. Add 1 to quotient.
\begin{array}{l}\phantom{86)}001\phantom{7}\\86\overline{)1030}\\\phantom{86)}\underline{\phantom{9}86\phantom{9}}\\\phantom{86)9}170\\\end{array}
Use the 4^{th} digit 0 from dividend 1030
\begin{array}{l}\phantom{86)}0011\phantom{8}\\86\overline{)1030}\\\phantom{86)}\underline{\phantom{9}86\phantom{9}}\\\phantom{86)9}170\\\phantom{86)}\underline{\phantom{99}86\phantom{}}\\\phantom{86)99}84\\\end{array}
Find closest multiple of 86 to 170. We see that 1 \times 86 = 86 is the nearest. Now subtract 86 from 170 to get reminder 84. Add 1 to quotient.
\text{Quotient: }11 \text{Reminder: }84
Since 84 is less than 86, stop the division. The reminder is 84. The topmost line 0011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.
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}