Solve using traditional division: 3,185

Question

17.

187

187 R6

None of these is correct.

186 R23

Answer 1

To solve 3,185 divided by 17 using traditional long division, we can follow these steps:

1. Setup the division: Write 3,185 as the dividend (inside) and 17 as the divisor (outside).

2. Divide the first part:

   • 17 goes into 31 once (1). Write 1 above the 31.
   • Subtract \( 17 \times 1 = 17 \) from 31 to get 14.
   • Bring down the next digit (8): now we have 148.

3. Divide the next part:

   • 17 goes into 148 eight times (8). Write 8 above the 148.
   • Subtract \( 17 \times 8 = 136 \) from 148 to get 12.
   • Bring down the next digit (5): now we have 125.

4. Divide the last part:

   • 17 goes into 125 seven times (7). Write 7 above the 125.
   • Subtract \( 17 \times 7 = 119 \) from 125 to get 6.

Now you have no more digits to bring down.

So, we find: \[ 3185 \div 17 = 187 \quad \text{with a remainder of } 6. \]

Therefore:

• Quotient = 187
• Remainder = 6

The answer is: 187 R6

This matches one of the provided options.