Evaluate
\frac{1500}{17}\approx 88.235294118
Factor
\frac{2 ^ {2} \cdot 3 \cdot 5 ^ {3}}{17} = 88\frac{4}{17} = 88.23529411764706
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\begin{array}{l}\phantom{68)}\phantom{1}\\68\overline{)6000}\\\end{array}
Use the 1^{st} digit 6 from dividend 6000
\begin{array}{l}\phantom{68)}0\phantom{2}\\68\overline{)6000}\\\end{array}
Since 6 is less than 68, use the next digit 0 from dividend 6000 and add 0 to the quotient
\begin{array}{l}\phantom{68)}0\phantom{3}\\68\overline{)6000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 6000
\begin{array}{l}\phantom{68)}00\phantom{4}\\68\overline{)6000}\\\end{array}
Since 60 is less than 68, use the next digit 0 from dividend 6000 and add 0 to the quotient
\begin{array}{l}\phantom{68)}00\phantom{5}\\68\overline{)6000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 6000
\begin{array}{l}\phantom{68)}008\phantom{6}\\68\overline{)6000}\\\phantom{68)}\underline{\phantom{}544\phantom{9}}\\\phantom{68)9}56\\\end{array}
Find closest multiple of 68 to 600. We see that 8 \times 68 = 544 is the nearest. Now subtract 544 from 600 to get reminder 56. Add 8 to quotient.
\begin{array}{l}\phantom{68)}008\phantom{7}\\68\overline{)6000}\\\phantom{68)}\underline{\phantom{}544\phantom{9}}\\\phantom{68)9}560\\\end{array}
Use the 4^{th} digit 0 from dividend 6000
\begin{array}{l}\phantom{68)}0088\phantom{8}\\68\overline{)6000}\\\phantom{68)}\underline{\phantom{}544\phantom{9}}\\\phantom{68)9}560\\\phantom{68)}\underline{\phantom{9}544\phantom{}}\\\phantom{68)99}16\\\end{array}
Find closest multiple of 68 to 560. We see that 8 \times 68 = 544 is the nearest. Now subtract 544 from 560 to get reminder 16. Add 8 to quotient.
\text{Quotient: }88 \text{Reminder: }16
Since 16 is less than 68, stop the division. The reminder is 16. The topmost line 0088 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 88.
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}