Question

i-ready® diagnostic - math study plan > c.5 divide whole divide:

overline{26\big) 557,076}
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Explanation:

Step1: Divide 557076 by 26

We perform the long division: \( 557076 \div 26 \). First, we see how many times 26 goes into 55 (the first two digits of 557076). 262 = 52, subtract 52 from 55, we get 3. Bring down the next digit 7 to make 37. 26 goes into 37 once (261 = 26), subtract 26 from 37, we get 11. Bring down the next digit 0 to make 110. 264 = 104, subtract 104 from 110, we get 6. Bring down the next digit 7 to make 67. 262 = 52, subtract 52 from 67, we get 15. Bring down the next digit 6 to make 156. 26*6 = 156, subtract 156 from 156, we get 0. Combining the quotients: 2 (from 55) 1 (from 37) 4 (from 110) 2 (from 67) 6 (from 156) gives 21426.

Step2: Verify the division

We can check by multiplying 26 and 21426. \( 26 \times 21426 = 26\times(20000 + 1000 + 400 + 20 + 6) = 26\times20000 + 26\times1000 + 26\times400 + 26\times20 + 26\times6 = 520000 + 26000 + 10400 + 520 + 156 = 520000+26000 = 546000; 546000+10400 = 556400; 556400+520 = 556920; 556920+156 = 557076 \), which matches the dividend.

Answer:

21426