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To determine how many times 13 can go into 90 with a remainder, you need to perform long division. When you divide 90 by 13, the quotient is 6 with a remainder of 12. This means that 13 can go into 90 six times, with a remainder of 12.
90 divided by 25 is 3 with remainder 15
The short answer is no. 90 cannot be cleanly divided by 7, it would leave a remainder of 6. You could fit 7 into 90, 12 times - which would equal 84. 90 will, however, cleanly divide with no remainder against all the other numbers you listed; 2 (45 times), 3 (30 times), 5 (18 times), 9 (10 times), and 10 (9 times).