Solve Long Division: 945 ÷ 15 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

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

00:07 9 is less than 15, so we'll bring down the next digit, and then divide

00:16 Write the result without remainder above, pay attention to position

00:21 Now multiply the result by the divisor

00:25 Subtract the product from the number

00:30 Now bring down the next digit below and use the same steps

00:36 Divide

00:40 Write the result without remainder above, pay attention to position

00:43 Multiply the result and subtract

00:50 We got a remainder of 0

00:55 And this is the solution to the question

Step-by-Step Solution

To solve the problem of finding $945 \div 15$ , we will use long division:

Step 1: Set up the long division. With $945$ as the dividend and $15$ as the divisor, begin by considering the first two digits, $94$ .
Step 2: Determine how many times $15$ fits into $94$ . Since $15 \times 6 = 90$ (the highest multiple of 15 under 94), write $6$ as the first digit of the quotient.
Step 3: Subtract $90$ from $94$ , obtaining $4$ (as $94 - 90 = 4$ ).
Step 4: Bring down the next digit from the dividend, which is $5$ , turning the current number to $45$ .
Step 5: Find how many times $15$ fits into $45$ . Since $45 \div 15 = 3$ exactly, write $3$ as the next digit of the quotient.
Step 6: Subtract $45$ from $45$ , resulting in $0$ . There are no remaining digits to bring down, and the process is complete.

Therefore, the result of $945 \div 15$ is $63$ .