Final answer:
The remainder when 9682 is divided by 43 is 23.
Explanation:
When performing long division to find the remainder of 9682 divided by 43, we start by dividing 9682 by 43. Setting up the long division, we get:
43 | 9682
To begin, we look at how many times 43 can fit into 96 without exceeding it. 43 goes into 96 two times (43 * 2 = 86). We multiply 43 by 2 and subtract it from 96, leaving us with a remainder of 10 (96 - 86 = 10). Next, bring down the next digit, 8, to form 108. 43 goes into 108 two times as well (43 * 2 = 86), leaving us with a remainder of 22 (108 - 86 = 22).
Lastly, bring down the last digit, 2, to form 222. 43 goes into 222 five times (43 * 5 = 215), leaving us with a remainder of 7 (222 - 215 = 7). Finally, bringing down the last digit, 2, forms 72, and 43 goes into 72 one time (43 * 1 = 43), leaving us with a remainder of 29 (72 - 43 = 29). Therefore, the remainder when 9682 is divided by 43 is 23.
Here is complete question;
"Divide 9682 by 43 and find the remainder."