Sure, let's go through the detailed, step-by-step process for dividing 33.92 by 5.3.
### Step 1: Remove the Decimal Point
First, we will handle the decimal by multiplying both the dividend (33.92) and the divisor (5.3) by 10 to make them both whole numbers.
[tex]\[ 33.92 \times 10 = 339.2 \][/tex]
[tex]\[ 5.3 \times 10 = 53 \][/tex]
So, now we need to divide 339.2 by 53.
### Step 2: Perform the Division
Next, we will perform long division.
- Step 2.1: See how many times 53 fits into 339.
- 53 goes into 339 approximately 6 times because [tex]\( 53 \times 6 = 318 \)[/tex].
- Step 2.2: Subtract the result from 339.
- [tex]\( 339 - 318 = 21 \)[/tex].
- Step 2.3: Bring down the next digit, which is 2 from 339.2.
- Now we have 212.
- Step 2.4: Divide 212 by 53.
- 53 goes into 212 exactly 4 times because [tex]\( 53 \times 4 = 212 \)[/tex].
- Step 2.5: Subtract the result from 212.
- [tex]\( 212 - 212 = 0 \)[/tex].
So, [tex]\( 212 \div 53 = 4 \)[/tex].
### Step 3: Compile the Quotient
Combining the results from our long division, we find that 33.92 divided by 5.3 is:
[tex]\[ 6.4 \][/tex]
Thus, the answer is 6.4.
