Evaluate
\frac{80}{3}\approx 26.666666667
Factor
\frac{2 ^ {4} \cdot 5}{3} = 26\frac{2}{3} = 26.666666666666668
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\begin{array}{l}\phantom{3000)}\phantom{1}\\3000\overline{)80000}\\\end{array}
Use the 1^{st} digit 8 from dividend 80000
\begin{array}{l}\phantom{3000)}0\phantom{2}\\3000\overline{)80000}\\\end{array}
Since 8 is less than 3000, use the next digit 0 from dividend 80000 and add 0 to the quotient
\begin{array}{l}\phantom{3000)}0\phantom{3}\\3000\overline{)80000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 80000
\begin{array}{l}\phantom{3000)}00\phantom{4}\\3000\overline{)80000}\\\end{array}
Since 80 is less than 3000, use the next digit 0 from dividend 80000 and add 0 to the quotient
\begin{array}{l}\phantom{3000)}00\phantom{5}\\3000\overline{)80000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 80000
\begin{array}{l}\phantom{3000)}000\phantom{6}\\3000\overline{)80000}\\\end{array}
Since 800 is less than 3000, use the next digit 0 from dividend 80000 and add 0 to the quotient
\begin{array}{l}\phantom{3000)}000\phantom{7}\\3000\overline{)80000}\\\end{array}
Use the 4^{th} digit 0 from dividend 80000
\begin{array}{l}\phantom{3000)}0002\phantom{8}\\3000\overline{)80000}\\\phantom{3000)}\underline{\phantom{}6000\phantom{9}}\\\phantom{3000)}2000\\\end{array}
Find closest multiple of 3000 to 8000. We see that 2 \times 3000 = 6000 is the nearest. Now subtract 6000 from 8000 to get reminder 2000. Add 2 to quotient.
\begin{array}{l}\phantom{3000)}0002\phantom{9}\\3000\overline{)80000}\\\phantom{3000)}\underline{\phantom{}6000\phantom{9}}\\\phantom{3000)}20000\\\end{array}
Use the 5^{th} digit 0 from dividend 80000
\begin{array}{l}\phantom{3000)}00026\phantom{10}\\3000\overline{)80000}\\\phantom{3000)}\underline{\phantom{}6000\phantom{9}}\\\phantom{3000)}20000\\\phantom{3000)}\underline{\phantom{}18000\phantom{}}\\\phantom{3000)9}2000\\\end{array}
Find closest multiple of 3000 to 20000. We see that 6 \times 3000 = 18000 is the nearest. Now subtract 18000 from 20000 to get reminder 2000. Add 6 to quotient.
\text{Quotient: }26 \text{Reminder: }2000
Since 2000 is less than 3000, stop the division. The reminder is 2000. The topmost line 00026 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 26.
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}