Question

divide:
\begin{array}{r}\\ phantom{)}\\ 7{overline{smash{\big)},8,610 phantom{)}}}end{array} r (square)

Explanation:

Step1: Divide 8 by 7

8 ÷ 7 = 1, remainder 1. Bring down 6 to make 16.

Step2: Divide 16 by 7

16 ÷ 7 = 2, remainder 2. Bring down 1 to make 21.

Step3: Divide 21 by 7

21 ÷ 7 = 3, remainder 0. Bring down 0 to make 0.

Step4: Divide 0 by 7

0 ÷ 7 = 0, remainder 0. Wait, no, wait. Wait, the number is 8610. Let's do long division properly.

Wait, 7 into 8 (thousands place): 1, 1×7=7, 8-7=1. Bring down 6: 16. 7 into 16: 2, 2×7=14, 16-14=2. Bring down 1: 21. 7 into 21: 3, 3×7=21, 21-21=0. Bring down 0: 0. 7 into 0: 0. Wait, that would be 1230 with remainder 0? Wait, no, wait 7×1230 = 8610? Let's check: 7×1200=8400, 7×30=210, 8400+210=8610. So remainder is 0. Wait, maybe I made a mistake earlier. Let's do long division:

8610 ÷ 7:

• 7 into 8 (first digit) is 1, 1×7=7, subtract 7 from 8, get 1. Bring down 6 (next digit) to make 16.

• 7 into 16 is 2, 2×7=14, subtract 14 from 16, get 2. Bring down 1 (next digit) to make 21.

• 7 into 21 is 3, 3×7=21, subtract 21 from 21, get 0. Bring down 0 (next digit) to make 0.

• 7 into 0 is 0, 0×7=0, subtract 0 from 0, get 0.

So the quotient is 1230 and remainder 0.

Wait, but maybe the problem is written as 8,610 divided by 7. Let me confirm 7×1230 = 8610. Yes, 1230×7: 1000×7=7000, 200×7=1400, 30×7=210; 7000+1400=8400, 8400+210=8610. So remainder is 0.

Answer:

1230 R 0