Tougher questions in division

A number when divided by 11 has a remainder 8 and the quotient divided by 13 has a remainder 7. What will be the respective remainders when the order of the divisor is reversed?

What is the nearest integer to 56100 which is exactly divisible by 456?

56100 / 456 = 123 12/456
so, the nearest integer = 56100 - 12 = 56,088

A boy had to divide 49471 by 210. Instead he divides it by some other number and gets a quotient of 246 and a remainder of 25. What was the divisor?

A number when divided by 221 gave a remainder of 43. What will be the remainder if the same number is divided by 17?

4767 exactly divides the number ***341. Find the missing digits indicated by the star.

Answer:
4767 x 3 =            14301
4767 x 2 =            9534x
4767 x 1 =          4767xx
----------------------------------
                           586,341
the missing digits are 586.

Two numbers when divided  by a certain divisor, leaves a remainder 4375 and 2986 respectively. When the sum of the two numbers is divided by the same divisor, the remainder is 2361. What is the divisor?
Answer:
Divisor = 4375 + 2986 - 2361 = 5000

A number when divided by 8,9 and 10 successively ( by the method of factor) leaves Remainder of 3,4 and 5 respectively. What will be the Remainder if the divisors were 3,5, 6 and 8 in order?