What is 36 divided by 7 show me the work and it has to be quotient
The Correct Answer and Explanation is:
Quotient of 36 Divided by 7
To divide 36 by 7, we are looking for how many whole times 7 goes into 36. This is called the quotient.
Step-by-step Work
Step 1:
Check how many times 7 goes into 36 without going over.
- 7 × 1 = 7
- 7 × 2 = 14
- 7 × 3 = 21
- 7 × 4 = 28
- 7 × 5 = 35 ← Closest to 36 without going over
- 7 × 6 = 42 (too much)
So, 7 goes into 36 a total of 5 times.
Step 2:
Now subtract:
36 − (7 × 5) = 36 − 35 = 1
So:
- Quotient = 5
- Remainder = 1
You can write this as:
- 36 ÷ 7 = 5 R1
- Or as a mixed number: 5 1/7
- Or as a decimal:
1 ÷ 7 = approximately 0.142857
So, 36 ÷ 7 ≈ 5.142857
Explanation
Division is a way to split a number into equal parts. When we divide 36 by 7, we are asking: “How many whole groups of 7 can we make from 36?” The result of a division is called the quotient.
To find the quotient of 36 ÷ 7, we start by seeing how many times 7 fits into 36 without going over. Multiplying 7 by different numbers helps us get close. When we multiply 7 by 5, we get 35, which is just one less than 36. That means 7 fits into 36 a total of 5 whole times. So, the quotient is 5.
But we’re not done—there’s still a part of 36 left over. After using 5 groups of 7 (which is 35), we have 1 left. This 1 is the remainder, because it’s what’s left over after we divide. So, we say 36 divided by 7 equals 5 with a remainder of 1, or 5 R1.
You can also write this as a mixed number, which includes both the whole number (5) and the fraction left over (1/7). That gives you 5 1/7. If you want to write the answer as a decimal, divide the remainder (1) by 7. The result is approximately 0.142857, and when you add that to the whole number 5, you get about 5.142857.
In summary, dividing 36 by 7 gives a quotient of 5, with different ways to express the full answer depending on whether you use a remainder, a fraction, or a decimal.
