Working division problems that have a two-digit divisor may look hard. But there's an easy way to solve them. Look at this example:
We're dividing by 46. The first part of 365 that we can divide by 46 is 365. The first digit of the quotient (answer) will go above the 5 in the ones place. The easiest way to know the quotient is to think of an easy estimation problem. To estimate, we round off the divisor.
Here's how to do it:
First, ask yourself, "How many tens does 46 round to?" The number 46 rounds to 5 tens. Next, we simplify the estimation problem. The simplified estimation problem is 36 divided by 5 (36 ÷ 5). What's the answer? The answer is 7.
We write that answer in the problem. Here's what your problem will look like:
When we multiply 7 times 46, we get 322 (7 x 46 = 322). We subtract and get 43. That's the remainder. It will look like this:
Here's another problem:
We underline 192. The first digit of the answer will go above the 2 in the ones place. Now we work an estimation problem. What do we round 31 to? It rounds to 30, which equals 3 tens. The simplified estimation problem is 19 divided by 3 (19 ÷ 3). What's the answer? It's 6. Here's what the simplified estimation will look like:
Next, we put that answer in the problem and multiply to get 186. We subtract and get 6 for the remainder. Remember the steps: Figure out where you write the first digit of the quotient, work an estimation problem, and then use that number in the quotient.
