3739337 ÷ 498 
Let's see how many times 498 fits into 3739337.

Advancing to step 1:
498 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 498

Let's proceed to step 2:
37 divided by 498 is 0 with a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Grab the next digit (3) from the dividend, add it to 37, then carry on: 373 / 498

Advancing to step 3:
When dividing 373 by 498, we get 0 with a remainder of 373.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 373 leaves us with 373.
Grab the next digit (9) from the dividend, add it to 373, then carry on: 3739 / 498

Advancing to step 4:
The number 498 fits into 3739 7 times, leaving a remainder of 253.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 3486 away from 3739, we end up with 253.
Bring next digit (3) of the dividend behind the 253 and repeat the process: 2533 / 498

Step 5:
498 can be fit into 2533 5 times, resulting in a remainder of 43.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
If we take 2490 away from 2533, we end up with 43.
Grab the next digit (3) from the dividend, add it to 43, then carry on: 433 / 498

Moving on to step 6:
498 can be fit into 433 0 times, resulting in a remainder of 433.
The next digit of our result is 0. 
Result so far: 750.0
Deduct 0 from 433 and we're left with 433.
Append the next digit (7) from the dividend to 433 and continue with: 4337 / 498

Let's proceed to step 7:
When dividing 4337 by 498, we get 8 with a remainder of 353.
Record the quotient 8 as the next digit in the result. 
Result so far: 7508.0
Subtract 3984 from 4337 to get 353.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3530, and continue the process.

Advancing to step 8:
When dividing 3530 by 498, we get 7 with a remainder of 44.
The number 7 becomes the next digit in our result. 
Result so far: 7508.7
Subtracting 3486 from 3530 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
498 can be fit into 440 0 times, resulting in a remainder of 440.
Use 0 as the next digit of our solution. 
Result so far: 7508.7
If we subtract 0 from 440, we get 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

On to step 10:
4400 divided by 498 is 8 with a remainder of 416.
Put 8 as the next digit of the answer. 
Result so far: 7508.708
If we take 3984 away from 4400, we end up with 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

Let's proceed to step 11:
4160 divided by 498 is 8 with a remainder of 176.
The number 8 becomes the next digit in our result. 
Result so far: 7508.7088
The remainder is 176 after subtracting 3984 from 4160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

The quotient of the division is 7508.7088, and the remainder is 0.00176.