We look at the division of 603140 by 61 
We're looking to find how many times 61 goes into 603140.

Let's proceed to step 1:
6 divided by 61 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 61

Let's proceed to step 2:
When dividing 60 by 61, we get 0 with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 60, we get 60.
Include the next digit (3) from the dividend after 60, then repeat: 603 / 61

Step 3:
If we divide 603 by 61, we get 9 and a remainder of 54.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 549 from 603 to get 54.
Include the next digit (1) from the dividend after 54, then repeat: 541 / 61

Going ahead to step 4:
61 can be fit into 541 8 times, resulting in a remainder of 53.
The number 8 becomes the next digit in our result. 
Result so far: 98.0
Subtracting 488 from 541 leaves us with 53.
Bring next digit (4) of the dividend behind the 53 and repeat the process: 534 / 61

Let's proceed to step 5:
When dividing 534 by 61, we get 8 with a remainder of 46.
Use 8 as the next digit of our solution. 
Result so far: 988.0
If we subtract 488 from 534, we get 46.
Include the next digit (0) from the dividend after 46, then repeat: 460 / 61

Going ahead to step 6:
The number 61 fits into 460 7 times, leaving a remainder of 33.
The next digit of our result is 7. 
Result so far: 9887.0
If we take 427 away from 460, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
330 divided by 61 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 9887.5
Subtract 305 from 330 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
250 divided by 61 is 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 9887.54
Deduct 244 from 250 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
The number 61 fits into 60 0 times, leaving a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 9887.54
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 10:
The number 61 fits into 600 9 times, leaving a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 9887.5409
Subtracting 549 from 600 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 11:
510 divided by 61 is 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 9887.54098
If we subtract 488 from 510, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
220 divided by 61 is 3 with a remainder of 37.
The next digit of our result is 3. 
Result so far: 9887.540983
Subtract 183 from 220 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 13:
The number 61 fits into 370 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 9887.5409836
If we subtract 366 from 370, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 14:
61 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 9887.5409836
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 9887.5409836 with a remainder of 4e-08.