Question

divide:
5,628 ÷ 21 = \boxed{} r \boxed{}

Explanation:

Step1: Divide 5628 by 21

We know that \( 21\times268 = 21\times(200 + 60 + 8)=21\times200+21\times60 + 21\times8=4200+1260 + 168 = 4200+1428=5628\)? Wait, no, let's do long division.
Divide 56 (the first two digits of 5628) by 21. \( 21\times2 = 42\), subtract 42 from 56, we get 14. Bring down the next digit 2, making it 142.

Step2: Divide 142 by 21

\( 21\times6 = 126\), subtract 126 from 142, we get 16. Bring down the next digit 8, making it 168.

Step3: Divide 168 by 21

\( 21\times8 = 168\), subtract 168 from 168, we get 0. Wait, that means there is no remainder? Wait, no, wait my first step was wrong. Wait 21268: 21200=4200, 2160=1260, 218=168. 4200+1260=5460, 5460+168=5628. So 5628 divided by 21 is 268 with remainder 0? Wait, but let's check again. Wait 21268: 20021=4200, 6021=1260, 821=168. 4200+1260=5460, 5460+168=5628. So 5628 ÷21 = 268 with remainder 0. Wait, maybe I made a mistake in long division steps earlier. Let's do long division properly:

5628 ÷21:

• 21 into 56 (first two digits) is 2 (21*2=42), 56-42=14. Bring down 2: 142.

• 21 into 142: 6 (21*6=126), 142-126=16. Bring down 8: 168.

• 21 into 168: 8 (21*8=168), 168-168=0. So quotient is 2 (from first digit) 6 (second) 8 (third), so 268, remainder 0.

Wait, so the quotient is 268 and remainder is 0.

Answer:

268 R 0