Certainly! Let's go through the long division step-by-step to divide 3,105,600 by 15. We need to find the quotient and remainder.
1. Dividing the First Digit:
- The first digit is 3. Since 3 is less than 15, we consider the first two digits, 31.
2. Dividing the First Two Digits:
- How many times does 15 go into 31? It goes in 2 times because 15 × 2 = 30.
- Write down the 2 as part of the quotient.
- Subtract 30 from 31:
[tex]\[
31 - 30 = 1
\][/tex]
- Bring down the next digit, which is 0, to get 10.
3. Dividing the Next Number (10):
- How many times does 15 go into 10? It goes 0 times because 15 is greater than 10.
- Write down 0 as part of the quotient.
- Subtract 0 from 10:
[tex]\[
10 - 0 = 10
\][/tex]
- Bring down the next digit, which is 5, to get 105.
4. Dividing the Next Number (105):
- How many times does 15 go into 105? It goes 7 times because 15 × 7 = 105.
- Write down 7 as part of the quotient.
- Subtract 105 from 105:
[tex]\[
105 - 105 = 0
\][/tex]
- Bring down the next digit, which is 6, to get 60.
5. Dividing the Next Number (60):
- How many times does 15 go into 60? It goes 4 times because 15 × 4 = 60.
- Write down 4 as part of the quotient.
- Subtract 60 from 60:
[tex]\[
60 - 60 = 0
\][/tex]
- Bring down the next digit, which is 0, to get 0.
6. Dividing the Next Number (0):
- Since the remaining digits are 0's, 15 goes into 0 exactly 0 times.
- Write down 0 as part of the quotient.
The complete quotient is 207040 and there is no remainder because we obtained 0 at the end.
Therefore, the solution to the division problem is:
[tex]\[ \text{Quotient: } 207040 \][/tex]
[tex]\[ \text{Remainder: } 0 \][/tex]
So, [tex]\( 3,105,600 \div 15 = 207040 \text{ with a remainder of } 0 \)[/tex].
