Calculate Area with Perpendicular Lines: 15 and 1140 Units Problem

Video Solution

Solution Steps

00:00 Solve

00:03 Let's start by dividing the leftmost digit in the dividend

00:07 1 is less than 15, so we'll add the next digit, and then divide

00:10 11 is also less than 15, so we'll add the next digit, and then divide

00:17 Write the result without the remainder above, paying attention to the position

00:26 Now multiply the result by the divisor

00:29 Subtract the product from the number

00:36 Now bring down the next digit and use the same steps

00:40 Divide

00:43 Write the result without the remainder above, paying attention to the position

00:46 Multiply the result and subtract

00:54 We got a remainder of 0

00:57 And this is the solution to the problem

Step-by-Step Solution

To solve this division problem of dividing 1140 by 15, we perform the following steps:

Step 1: Set up the division with 1140 under the division bracket and 15 outside.
Step 2: Determine how many times 15 fits into the first two digits of the dividend, 11. Since it doesn't fit, consider the first three digits, 114.
Step 3: Calculate $15 \times 7 = 105$ , which is the nearest lower product to 114. Write 7 above the division bar.
Step 4: Subtract 105 from 114, leaving 9. Bring down the next digit of the dividend, 0, making it 90.
Step 5: Determine how many times 15 fits into 90. $15 \times 6 = 90$ . Write 6 above the division bar.
Step 6: Subtract the 90 from 90, resulting in a remainder of 0.

The quotient from the division of 1140 by 15 is $76$ . None remains, confirming complete division.

Therefore, the solution to the problem is $76$ .