Long Division Problem: Dividing 5409 by 6 Step-by-Step

To solve the problem, we will use long division to divide 5409 by 6:

• Step 1: Identify the first digit of the dividend (5), which is less than 6. Combine it with the next digit (4) to make 54.
• Step 2: Divide 54 by 6, which goes 9 times. Write 9 as the first digit of the quotient.
• Step 3: Subtract $9 \times 6 = 54$ from 54, leading to a remainder of 0. Bring down the next digit (0).
• Step 4: Divide the resulting 0 by 6. It goes 0 times, so write 0 in the quotient.
• Step 5: Bring down the last digit (9).
• Step 6: Divide 9 by 6, which goes 1 time. Write 1 as the next digit of the quotient.
• Step 7: Subtract $1 \times 6 = 6$ from 9, resulting in a remainder of 3.

The quotient is 901, and the remainder is 3.

Therefore, the solution to the problem is $901$ with a remainder of 3.