using partial quotation to solve 1,085/7

Answer 1

To solve the division \( 1,085 \div 7 \) using partial quotients, we'll break it down into manageable steps:

1. Estimate how many times 7 can fit into 1,085. Start by estimating with multiples of 10.

   • Since \( 7 \times 100 = 700 \), we can try estimating higher multiples like \( 7 \times 150 = 1,050 \).

2. Subtract that estimate from 1,085:

   • \( 1,085 - 1,050 = 35 \). Now we need to see how many times 7 can fit into 35.

3. Determine how many times 7 fits into 35:

   • \( 7 \times 5 = 35 \), so we can subtract that as well.

4. Put it all together:

   • The quotients from our steps:
     • From \( 1,050 \), we had 150.
     • From \( 35 \), we had 5.

5. Add the partial quotients:

   • \( 150 + 5 = 155 \).

Therefore, \( 1,085 \div 7 = 155 \) with no remainder.