We look at the division of 590103 by 61 
We want to divide 590103 by 61.

On to step 1:
61 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 61

Advancing to step 2:
If we divide 59 by 61, we get 0 and a remainder of 59.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 59, we end up with 59.
Bring next digit (0) of the dividend behind the 59 and repeat the process: 590 / 61

On to step 3:
If we divide 590 by 61, we get 9 and a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 549 from 590 to get 41.
Bring next digit (1) of the dividend behind the 41 and repeat the process: 411 / 61

Advancing to step 4:
If we divide 411 by 61, we get 6 and a remainder of 45.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
If we subtract 366 from 411, we get 45.
Bring next digit (0) of the dividend behind the 45 and repeat the process: 450 / 61

Let's proceed to step 5:
450 divided by 61 is 7 with a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 967.0
The remainder is 23 after subtracting 427 from 450.
Fetch the next digit (3) from the dividend, attach it to 23 and continue: 233 / 61

Going ahead to step 6:
The number 61 fits into 233 3 times, leaving a remainder of 50.
The number 3 becomes the next digit in our result. 
Result so far: 9673.0
Subtracting 183 from 233 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 7:
500 divided by 61 is 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 9673.8
The remainder is 12 after subtracting 488 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
The number 61 fits into 120 1 times, leaving a remainder of 59.
Put 1 as the next digit of the answer. 
Result so far: 9673.81
If we take 61 away from 120, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 9:
61 goes into 590 9 times with a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 9673.819
Deduct 549 from 590 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 10:
61 goes into 410 6 times with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 9673.8196
If we take 366 away from 410, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 11:
61 can be fit into 440 7 times, resulting in a remainder of 13.
The next digit of our result is 7. 
Result so far: 9673.81967
Deduct 427 from 440 and we're left 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.

On to step 12:
If we divide 130 by 61, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 9673.819672
Subtract 122 from 130 to get 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 13:
61 goes into 80 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 9673.8196721
The remainder is 19 after subtracting 61 from 80.
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 14:
When dividing 190 by 61, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 9673.81967213
Subtracting 183 from 190 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 9673.81967213 and a remainder of 7e-09.