Evaluate
\frac{67083}{10}=6708.3
Factor
\frac{3 \cdot 59 \cdot 379}{2 \cdot 5} = 6708\frac{3}{10} = 6708.3
Share
Copied to clipboard
\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)402498}\\\end{array}
Use the 1^{st} digit 4 from dividend 402498
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)402498}\\\end{array}
Since 4 is less than 60, use the next digit 0 from dividend 402498 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)402498}\\\end{array}
Use the 2^{nd} digit 0 from dividend 402498
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)402498}\\\end{array}
Since 40 is less than 60, use the next digit 2 from dividend 402498 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)402498}\\\end{array}
Use the 3^{rd} digit 2 from dividend 402498
\begin{array}{l}\phantom{60)}006\phantom{6}\\60\overline{)402498}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}42\\\end{array}
Find closest multiple of 60 to 402. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 402 to get reminder 42. Add 6 to quotient.
\begin{array}{l}\phantom{60)}006\phantom{7}\\60\overline{)402498}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}424\\\end{array}
Use the 4^{th} digit 4 from dividend 402498
\begin{array}{l}\phantom{60)}0067\phantom{8}\\60\overline{)402498}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}424\\\phantom{60)}\underline{\phantom{9}420\phantom{99}}\\\phantom{60)999}4\\\end{array}
Find closest multiple of 60 to 424. We see that 7 \times 60 = 420 is the nearest. Now subtract 420 from 424 to get reminder 4. Add 7 to quotient.
\begin{array}{l}\phantom{60)}0067\phantom{9}\\60\overline{)402498}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}424\\\phantom{60)}\underline{\phantom{9}420\phantom{99}}\\\phantom{60)999}49\\\end{array}
Use the 5^{th} digit 9 from dividend 402498
\begin{array}{l}\phantom{60)}00670\phantom{10}\\60\overline{)402498}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}424\\\phantom{60)}\underline{\phantom{9}420\phantom{99}}\\\phantom{60)999}49\\\end{array}
Since 49 is less than 60, use the next digit 8 from dividend 402498 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00670\phantom{11}\\60\overline{)402498}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}424\\\phantom{60)}\underline{\phantom{9}420\phantom{99}}\\\phantom{60)999}498\\\end{array}
Use the 6^{th} digit 8 from dividend 402498
\begin{array}{l}\phantom{60)}006708\phantom{12}\\60\overline{)402498}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}424\\\phantom{60)}\underline{\phantom{9}420\phantom{99}}\\\phantom{60)999}498\\\phantom{60)}\underline{\phantom{999}480\phantom{}}\\\phantom{60)9999}18\\\end{array}
Find closest multiple of 60 to 498. We see that 8 \times 60 = 480 is the nearest. Now subtract 480 from 498 to get reminder 18. Add 8 to quotient.
\text{Quotient: }6708 \text{Reminder: }18
Since 18 is less than 60, stop the division. The reminder is 18. The topmost line 006708 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6708.
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}