We look at the division of 603761 by 61 
We want to figure out the number of times 603761 can be divided by 61.

Let's proceed to step 1:
The number 61 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 61

Moving on to step 2:
When dividing 60 by 61, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 60 to get 60.
Bring next digit (3) of the dividend behind the 60 and repeat the process: 603 / 61

Step 3:
If we divide 603 by 61, we get 9 and a remainder of 54.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 549 from 603 to get 54.
Take the next digit (7) from the dividend and append it to 54, then repeat: 547 / 61

Going ahead to step 4:
547 divided by 61 is 8 with a remainder of 59.
Record the quotient 8 as the next digit in the result. 
Result so far: 98.0
Subtracting 488 from 547 leaves us with 59.
Grab the next digit (6) from the dividend, add it to 59, then carry on: 596 / 61

Let's proceed to step 5:
61 goes into 596 9 times with a remainder of 47.
The number 9 becomes the next digit in our result. 
Result so far: 989.0
Deduct 549 from 596 and we're left with 47.
Include the next digit (1) from the dividend after 47, then repeat: 471 / 61

Advancing to step 6:
471 divided by 61 is 7 with a remainder of 44.
Record the quotient 7 as the next digit in the result. 
Result so far: 9897.0
If we subtract 427 from 471, we get 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 7:
When dividing 440 by 61, we get 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 9897.7
If we take 427 away from 440, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 8:
61 goes into 130 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 9897.72
The remainder is 8 after subtracting 122 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
The number 61 fits into 80 1 times, leaving a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 9897.721
If we take 61 away from 80, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 10:
When dividing 190 by 61, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 9897.7213
Subtract 183 from 190 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 11:
61 can be fit into 70 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 9897.72131
If we subtract 61 from 70, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 12:
If we divide 90 by 61, we get 1 and a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 9897.721311
If we take 61 away from 90, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

After the division, we end up with 9897.721311 and a remainder of 2.9e-06.