We look at the division of 653003 by 61 
We want to divide 653003 by 61.

Let's proceed to step 1:
When dividing 6 by 61, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 61

Moving on to step 2:
When dividing 65 by 61, we get 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 61 from 65 to get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 61

Going ahead to step 3:
61 goes into 43 0 times with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 43 after subtracting 0 from 43.
Include the next digit (0) from the dividend after 43, then repeat: 430 / 61

Let's proceed to step 4:
If we divide 430 by 61, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 107.0
If we subtract 427 from 430, we get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 61

Let's proceed to step 5:
61 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 1070.0
Deduct 0 from 30 and we're left with 30.
Fetch the next digit (3) from the dividend, attach it to 30 and continue: 303 / 61

Let's proceed to step 6:
If we divide 303 by 61, we get 4 and a remainder of 59.
The number 4 becomes the next digit in our result. 
Result so far: 10704.0
Deduct 244 from 303 and we're left 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.

Advancing to step 7:
61 can be fit into 590 9 times, resulting in a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 10704.9
If we subtract 549 from 590, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 8:
61 goes into 410 6 times with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 10704.96
Subtract 366 from 410 to 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.

Moving on to step 9:
440 divided by 61 is 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 10704.967
If we subtract 427 from 440, we get 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 10:
When dividing 130 by 61, we get 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 10704.9672
If we subtract 122 from 130, we 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.

Advancing to step 11:
When dividing 80 by 61, we get 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 10704.96721
Subtract 61 from 80 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 12:
The number 61 fits into 190 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 10704.967213
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.

Going ahead to step 13:
When dividing 70 by 61, we get 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 10704.9672131
If we take 61 away from 70, we end up with 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 14:
When dividing 90 by 61, we get 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 10704.96721311
Subtract 61 from 90 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final result is 10704.96721311 with a remainder of 2.9e-08.