# 4.1.4. Operations on Large Numbers

A box contains 339 balls that need to be distributed equally on 37 bags. Calculate the number of balls for each bag and the number of undistributed balls.

• A number of balls in each bag is 9, number of undistributed balls is 6
• B number of balls in each bag is 302, number of undistributed balls is 8
• C number of balls in each bag is 376, number of undistributed balls is 8
• D number of balls in each bag is 9, number of undistributed balls is 8

### Example

A box contains 339 balls that need to be distributed equally on 37 bags. Calculate the number of balls for each bag and the number of undistributed balls.

### Solution

To find the number of balls for each bag and the number of undistributed balls, divide the number of balls in the box (339) by the number of bags (37). The quotient tells us the number of balls for each bag, and the remainder tells us the number of undistributed balls (the balls that are left over).

The quotient of is 9, so there are 9 balls for each bag. The remainder is 6, so there are 6 undistributed balls (6 balls left over).

To check the answer, we can multiply the divisor by the quotient and add the remainder: .

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