We look at the division of 6181633 by 601 
We're looking to find how many times 601 goes into 6181633.

On to step 1:
The number 601 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 601

On to step 2:
The number 601 fits into 61 0 times, leaving a remainder of 61.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 61 leaves us with 61.
Include the next digit (8) from the dividend after 61, then repeat: 618 / 601

On to step 3:
618 divided by 601 is 1 with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 601 from 618, we get 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 601

Step 4:
If we divide 171 by 601, we get 0 and a remainder of 171.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 171 after subtracting 0 from 171.
Take the next digit (6) from the dividend and append it to 171, then repeat: 1716 / 601

Advancing to step 5:
If we divide 1716 by 601, we get 2 and a remainder of 514.
The next digit of our result is 2. 
Result so far: 102.0
The remainder is 514 after subtracting 1202 from 1716.
Grab the next digit (3) from the dividend, add it to 514, then carry on: 5143 / 601

Advancing to step 6:
If we divide 5143 by 601, we get 8 and a remainder of 335.
Put 8 as the next digit of the answer. 
Result so far: 1028.0
If we subtract 4808 from 5143, we get 335.
Append the next digit (3) from the dividend to 335 and continue with: 3353 / 601

Advancing to step 7:
601 goes into 3353 5 times with a remainder of 348.
Put 5 as the next digit of the answer. 
Result so far: 10285.0
Subtracting 3005 from 3353 leaves us with 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

Step 8:
3480 divided by 601 is 5 with a remainder of 475.
Use 5 as the next digit of our solution. 
Result so far: 10285.5
If we take 3005 away from 3480, we end up with 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

Advancing to step 9:
601 goes into 4750 7 times with a remainder of 543.
The number 7 becomes the next digit in our result. 
Result so far: 10285.57
If we subtract 4207 from 4750, we get 543.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5430, and continue the process.

Step 10:
5430 divided by 601 is 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 10285.579
Deduct 5409 from 5430 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 11:
601 goes into 210 0 times with a remainder of 210.
The number 0 becomes the next digit in our result. 
Result so far: 10285.579
The remainder is 210 after subtracting 0 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

Step 12:
601 can be fit into 2100 3 times, resulting in a remainder of 297.
Use 3 as the next digit of our solution. 
Result so far: 10285.57903
Deduct 1803 from 2100 and we're left with 297.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2970, and continue the process.

Advancing to step 13:
601 goes into 2970 4 times with a remainder of 566.
The number 4 becomes the next digit in our result. 
Result so far: 10285.579034
The remainder is 566 after subtracting 2404 from 2970.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5660, and continue the process.

Advancing to step 14:
If we divide 5660 by 601, we get 9 and a remainder of 251.
Record the quotient 9 as the next digit in the result. 
Result so far: 10285.5790349
If we subtract 5409 from 5660, we get 251.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2510, and continue the process.

Going ahead to step 15:
If we divide 2510 by 601, we get 4 and a remainder of 106.
Put 4 as the next digit of the answer. 
Result so far: 10285.57903494
If we take 2404 away from 2510, we end up with 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

In conclusion, the division gives 10285.57903494 with a balance of 1.06e-07.