Answer :
To divide 906 by 6, follow these step-by-step instructions:
1. Divide the first digit of the dividend:
- The first digit of 906 is 9.
- 9 divided by 6 gives a quotient of 1 (because 6 goes into 9 one time).
- Write 1 above the 9.
- Multiply 1 by 6 to get 6.
- Subtract 6 from 9, giving a remainder of 3.
2. Bring down the next digit:
- Bring down the next digit, which is 0, next to the remainder 3, forming 30.
3. Divide the new number:
- Now, divide 30 by 6.
- 30 divided by 6 gives a quotient of 5 (because 6 goes into 30 five times).
- Write 5 above the digit 0.
- Multiply 5 by 6 to get 30.
- Subtract 30 from 30, giving a remainder of 0.
4. Bring down the last digit:
- Bring down the final digit of the original number, which is 6.
- We now have a new number to divide: 6.
5. Divide the final number:
- Divide 6 by 6.
- 6 divided by 6 gives a quotient of 1 (because 6 goes into 6 one time).
- Write 1 above the digit 6.
- Multiply 1 by 6 to get 6.
- Subtract 6 from 6, giving a remainder of 0.
Putting it all together, the quotient is 151 and the remainder is 0. Therefore:
[tex]\[ \boxed{151} \text{ remainder } \boxed{0} \][/tex]
1. Divide the first digit of the dividend:
- The first digit of 906 is 9.
- 9 divided by 6 gives a quotient of 1 (because 6 goes into 9 one time).
- Write 1 above the 9.
- Multiply 1 by 6 to get 6.
- Subtract 6 from 9, giving a remainder of 3.
2. Bring down the next digit:
- Bring down the next digit, which is 0, next to the remainder 3, forming 30.
3. Divide the new number:
- Now, divide 30 by 6.
- 30 divided by 6 gives a quotient of 5 (because 6 goes into 30 five times).
- Write 5 above the digit 0.
- Multiply 5 by 6 to get 30.
- Subtract 30 from 30, giving a remainder of 0.
4. Bring down the last digit:
- Bring down the final digit of the original number, which is 6.
- We now have a new number to divide: 6.
5. Divide the final number:
- Divide 6 by 6.
- 6 divided by 6 gives a quotient of 1 (because 6 goes into 6 one time).
- Write 1 above the digit 6.
- Multiply 1 by 6 to get 6.
- Subtract 6 from 6, giving a remainder of 0.
Putting it all together, the quotient is 151 and the remainder is 0. Therefore:
[tex]\[ \boxed{151} \text{ remainder } \boxed{0} \][/tex]