To solve the division of [tex]\(38 \div 29\)[/tex] step by step, we can follow these steps:
1. Identify the Numerator and Denominator: Here, the numerator is 38 and the denominator is 29.
2. Set Up the Division: We are looking to divide 38 by 29. This means we need to find how many times 29 can fit into 38 and to what decimal precision that occurs.
3. Perform the Division:
- Start by determining the whole number part of the division:
29 goes into 38 once because 29 multiplied by 1 is 29, which is less than 38. However, 29 multiplied by 2 is 58, which is greater than 38.
- Next, we need to find the decimal part to get a more precise result:
- Subtract 29 from 38: [tex]\(38 - 29 = 9\)[/tex].
- Bring down a 0 to make it 90.
- Now, determine how many times 29 goes into 90: 29 goes into 90 three times because 29 multiplied by 3 is 87, which is less than 90, and 29 multiplied by 4 is 116, which is greater than 90.
- Subtract 87 from 90: [tex]\(90 - 87 = 3\)[/tex].
- Bring down another 0 to make it 30.
- Repeat the process to get further decimal digits, which can be continued to get a precise value.
4. Compile the Resulting Quotient:
- We already know that 29 goes into 38 roughly one time.
- After extending the decimal points, through precise steps as outlined, you will reach a value:
Thus, the final result of [tex]\(38 \div 29\)[/tex] is approximately 1.3103448275862069.
So the quotient of [tex]\( 38 \div 29 \)[/tex] rounded to several decimal places is [tex]\( 1.3103448275862069 \)[/tex].
