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QUESTION IMAGE

divide: \begin{array}{r}\\ phantom{)}\\ hline 7overline{)6,818}end{arra…

Question

divide:

\begin{array}{r}\\ phantom{)}\\ hline 7overline{)6,818}end{array}
r

Explanation:

Step1: Divide 6818 by 7

We perform the long division of 6818 by 7. 7 times 974 is 6818 - (7974) = 6818 - 6818? Wait, no. Wait, 7974 = 6818? Let's check: 7900 = 6300, 770 = 490, 7*4 = 28. So 6300 + 490 = 6790 + 28 = 6818. Wait, that means 6818 ÷ 7 = 974 with remainder 0? Wait, no, maybe I made a mistake. Wait, let's do long division properly.

Divide 6818 by 7:

  • 7 into 6: no, so 7 into 68. 7*9 = 63, subtract 63 from 68, we get 5. Bring down 1: 51.
  • 7 into 51: 7*7 = 49, subtract 49 from 51, get 2. Bring down 8: 28.
  • 7 into 28: 7*4 = 28, subtract 28 from 28, get 0.

So the quotient is 974 and the remainder is 0. Wait, but let's check 7974: 9747. 9007=6300, 707=490, 4*7=28. 6300+490=6790+28=6818. Yes, so the division is exact. So the quotient is 974 and remainder 0.

Step2: Fill in the boxes

The first box is the quotient, the second is the remainder. So quotient is 974, remainder is 0.

Answer:

The first box (quotient) is 974, the remainder box is 0. So the answer is 974 R 0.