Let's solve the division problem step-by-step.
We are given the division problem [tex]\( 15 \longdiv {3105600} \)[/tex].
1. Step 1: Set up the division. We are dividing 3,105,600 by 15.
2. Step 2: Determine how many times 15 goes into the first digit (or the first few digits) of the dividend. Since 15 does not go into 3, we move to the first two digits. 15 does not go into 31 exactly two times, so we calculate [tex]\( 15 \times 2 = 30 \)[/tex].
3. Step 3: Subtract 30 from 31 to get the remainder.
[tex]\[
31 - 30 = 1
\][/tex]
Now, bring down the next digit of the dividend, which is 0, making the new number 10.
4. Step 4: Determine how many times 15 goes into 10. Since 15 does not go into 10, we write 0 in the quotient and bring down the next digit of the dividend, which is 5, making the new number 105.
5. Step 5: Determine how many times 15 goes into 105. It goes exactly 7 times, so we calculate [tex]\( 15 \times 7 = 105 \)[/tex].
6. Step 6: Subtract 105 from 105 to get the remainder.
[tex]\[
105 - 105 = 0
\][/tex]
Bring down the next digit of the dividend, which is 6, making the new number 60.
7. Step 7: Determine how many times 15 goes into 60. It goes exactly 4 times, so we calculate [tex]\( 15 \times 4 = 60 \)[/tex].
8. Step 8: Subtract 60 from 60 to get the remainder.
[tex]\[
60 - 60 = 0
\][/tex]
Bring down the next digit of the dividend, which is 0, making the new number 0.
9. Step 9: Determine how many times 15 goes into 0. It goes 0 times, so we write 0 in the quotient.
10. Step 10: Repeat the above process for the next digit. Since there are no more digits to bring down, the division process is complete.
By following these steps, the quotient we obtain is 207040, and the remainder is 0.
So, [tex]\( \frac{3105600}{15} \)[/tex] equals 207040 with a remainder of 0.
Therefore, the answer is:
[tex]\[ \boxed{207040} \quad \text{remainder} \quad 0 \][/tex]
