Certainly! Let's solve the division problem step-by-step:
We need to divide 6426 by 9.
1. Estimate the digits of the quotient:
- Step 1: Divide the first part (6) by 9:
- 6 divided by 9 is 0, with a remainder of 6 (because 9 is greater than 6).
- We write 0 above the 6, but typically we start considering another digit.
- Step 2: Combine the next digit (4) with the remainder:
- Combine 6 (the remainder) and 4 to get 64.
- 64 divided by 9 is approximately 7 (since 9 7 = 63).
- Write 7 above the 4.
- Step 3: Calculate the new remainder:
- Subtract 63 (9 7) from 64, which gives a remainder of 1.
- Combine this remainder with the next digit (2) to get 12.
- Step 4: Continue the process with 12:
- 12 divided by 9 is 1 (since 9 1 = 9).
- Write 1 above the 2.
- Step 5: New remainder calculation:
- Subtract 9 (9 1) from 12, which leaves 3.
- Combine this 3 with the next digit (6) to get 36.
- Step 6: Divide 36 by 9:
- 36 divided by 9 is exactly 4 (since 9 * 4 = 36).
- Write 4 above the 6.
2. Combine the digits of the quotient:
- The digits above (from the steps): 714.
3. Final result:
- 6426 divided by 9 gives a quotient of 714 and a remainder of 0.
Thus, the final answer is:
[tex]\[ 6426 \div 9 = 714 \][/tex]
[tex]\[ \text{Remainder} = 0 \][/tex]
The quotient is 714 and the remainder is 0.
