To divide 6 by 0.042, follow these steps:
1. Understand the Division:
We need to find out how many times 0.042 goes into 6.
2. Make the Denominator a Whole Number:
Dealing with a decimal in the divisor (0.042) can complicate things, so we'll convert this into a whole number. Multiply both the numerator and the denominator by 1000 to shift the decimal point three places to the right.
[tex]\[
\frac{6}{0.042} = \frac{6 \times 1000}{0.042 \times 1000} = \frac{6000}{42}
\][/tex]
3. Perform the Division:
Now, we need to divide 6000 by 42.
[tex]\[
6000 \div 42 = 142.85714285714286
\][/tex]
Therefore, the quotient when dividing 6 by 0.042 is approximately 142.85714285714286.
