We divide 603237 by 61
We want to figure out the number of times 603237 can be divided by 61.

Going ahead to step 1:
The number 61 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 61

Going ahead to step 2:
If we divide 60 by 61, we get 0 and a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 60 to get 60.
Take the next digit (3) from the dividend and append it to 60, then repeat: 603 / 61

Moving on to step 3:
61 can be fit into 603 9 times, resulting in a remainder of 54.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we subtract 549 from 603, we get 54.
Append the next digit (2) from the dividend to 54 and continue with: 542 / 61

Advancing to step 4:
If we divide 542 by 61, we get 8 and a remainder of 54.
Put 8 as the next digit of the answer. 
Result so far: 98.0
If we subtract 488 from 542, we get 54.
Fetch the next digit (3) from the dividend, attach it to 54 and continue: 543 / 61

Advancing to step 5:
If we divide 543 by 61, we get 8 and a remainder of 55.
Use 8 as the next digit of our solution. 
Result so far: 988.0
If we subtract 488 from 543, we get 55.
Fetch the next digit (7) from the dividend, attach it to 55 and continue: 557 / 61

Going ahead to step 6:
When dividing 557 by 61, we get 9 with a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 9889.0
If we take 549 away from 557, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
When dividing 80 by 61, we get 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 9889.1
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 8:
61 can be fit into 190 3 times, resulting in a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 9889.13
If we subtract 183 from 190, we 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.

Step 9:
When dividing 70 by 61, we get 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 9889.131
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.

Step 10:
The number 61 fits into 90 1 times, leaving a remainder of 29.
The next digit of our result is 1. 
Result so far: 9889.1311
The remainder is 29 after subtracting 61 from 90.
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 9889.1311 and a remainder of 0.00029.