To determine the quotient of \( 3.42 \) and \( 1.6 \), we need to perform the division:
\[
\frac{3.42}{1.6}
\]
To carry out the calculation, we can convert the division into a fraction:
\[
\frac{3.42}{1.6} = \frac{3.42 \times 10}{1.6 \times 10} = \frac{34.2}{16}
\]
Now we divide \( 34.2 \) by \( 16 \):
- Long Division Calculation:
- \( 16 \) goes into \( 34 \), two times because \( 16 \times 2 = 32 \).
- Subtract \( 32 \) from \( 34 \) to get a remainder of \( 2 \).
- Bring down the \( 2 \) to get \( 22 \).
- \( 16 \) goes into \( 22 \) one time because \( 16 \times 1 = 16 \).
- Subtract \( 16 \) from \( 22 \) to get a remainder of \( 6 \).
- Bring down the \( 0 \) (to create \( 60 \)).
- \( 16 \) goes into \( 60 \) three times because \( 16 \times 3 = 48 \).
- Subtract \( 48 \) from \( 60 \) to get a remainder of \( 12 \).
- Bring down \( 0 \) again (to create \( 120 \)).
- \( 16 \) goes into \( 120 \) seven times because \( 16 \times 7 = 112 \).
- Subtract \( 112 \) from \( 120 \) to get a remainder of \( 8 \), and then bring down another \( 0 \) (to create \( 80 \)).
- \( 16 \) goes into \( 80 \) five times because \( 16 \times 5 = 80 \).
- Subtract \( 80 \) from \( 80 \) to get a remainder of \( 0 \).
Putting it all together, the quotient can be written as:
\[
2.1375
\]
Thus, the quotient of \( 3.42 \) and \( 1.6 \) is:
\[
\frac{3.42}{1.6} = 2.1375
\]
Final Answer:
\[
3.42 \div 1.6 = 2.1375
\]
So, the answer is 2.1375.
