We look at the division of 35421133 by 997 
We want to figure out the number of times 35421133 can be divided by 997.

Let's proceed to step 1:
When dividing 3 by 997, we get 0 with 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.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 997

Going ahead to step 2:
997 goes into 35 0 times with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Fetch the next digit (4) from the dividend, attach it to 35 and continue: 354 / 997

Advancing to step 3:
997 can be fit into 354 0 times, resulting in a remainder of 354.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 354 and we're left with 354.
Fetch the next digit (2) from the dividend, attach it to 354 and continue: 3542 / 997

Advancing to step 4:
997 goes into 3542 3 times with a remainder of 551.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 2991 from 3542 to get 551.
Fetch the next digit (1) from the dividend, attach it to 551 and continue: 5511 / 997

Step 5:
997 can be fit into 5511 5 times, resulting in a remainder of 526.
Use 5 as the next digit of our solution. 
Result so far: 35.0
If we take 4985 away from 5511, we end up with 526.
Grab the next digit (1) from the dividend, add it to 526, then carry on: 5261 / 997

Step 6:
If we divide 5261 by 997, we get 5 and a remainder of 276.
The number 5 becomes the next digit in our result. 
Result so far: 355.0
Subtracting 4985 from 5261 leaves us with 276.
Include the next digit (3) from the dividend after 276, then repeat: 2763 / 997

Let's proceed to step 7:
997 can be fit into 2763 2 times, resulting in a remainder of 769.
The next digit of our result is 2. 
Result so far: 3552.0
Subtract 1994 from 2763 to get 769.
Append the next digit (3) from the dividend to 769 and continue with: 7693 / 997

Going ahead to step 8:
If we divide 7693 by 997, we get 7 and a remainder of 714.
Record the quotient 7 as the next digit in the result. 
Result so far: 35527.0
Subtract 6979 from 7693 to get 714.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7140, and continue the process.

Step 9:
If we divide 7140 by 997, we get 7 and a remainder of 161.
The next digit of our result is 7. 
Result so far: 35527.7
The remainder is 161 after subtracting 6979 from 7140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1610, and continue the process.

On to step 10:
997 can be fit into 1610 1 times, resulting in a remainder of 613.
Write down 1 as next digit of the result. 
Result so far: 35527.71
The remainder is 613 after subtracting 997 from 1610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6130, and continue the process.

Let's proceed to step 11:
997 goes into 6130 6 times with a remainder of 148.
The next digit of our result is 6. 
Result so far: 35527.716
The remainder is 148 after subtracting 5982 from 6130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Moving on to step 12:
997 goes into 1480 1 times with a remainder of 483.
The number 1 becomes the next digit in our result. 
Result so far: 35527.7161
Deduct 997 from 1480 and we're left with 483.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4830, and continue the process.

On to step 13:
When dividing 4830 by 997, we get 4 with a remainder of 842.
The next digit of our result is 4. 
Result so far: 35527.71614
Subtract 3988 from 4830 to get 842.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8420, and continue the process.

On to step 14:
8420 divided by 997 is 8 with a remainder of 444.
Put 8 as the next digit of the answer. 
Result so far: 35527.716148
The remainder is 444 after subtracting 7976 from 8420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Advancing to step 15:
4440 divided by 997 is 4 with a remainder of 452.
Put 4 as the next digit of the answer. 
Result so far: 35527.7161484
Subtracting 3988 from 4440 leaves us with 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

Step 16:
The number 997 fits into 4520 4 times, leaving a remainder of 532.
Write down 4 as next digit of the result. 
Result so far: 35527.71614844
The remainder is 532 after subtracting 3988 from 4520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5320, and continue the process.

After the division, we end up with 35527.71614844 and a remainder of 5.32e-07.