We look at the division of 1037561 by 851 
Our goal is to divide 1037561 by 851.

Advancing to step 1:
When dividing 1 by 851, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 851

On to step 2:
If we divide 10 by 851, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 851

On to step 3:
851 can be fit into 103 0 times, resulting in a remainder of 103.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 103, we get 103.
Append the next digit (7) from the dividend to 103 and continue with: 1037 / 851

On to step 4:
When dividing 1037 by 851, we get 1 with a remainder of 186.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 851 away from 1037, we end up with 186.
Include the next digit (5) from the dividend after 186, then repeat: 1865 / 851

Advancing to step 5:
The number 851 fits into 1865 2 times, leaving a remainder of 163.
Write down 2 as next digit of the result. 
Result so far: 12.0
Subtract 1702 from 1865 to get 163.
Bring next digit (6) of the dividend behind the 163 and repeat the process: 1636 / 851

On to step 6:
851 can be fit into 1636 1 times, resulting in a remainder of 785.
Use 1 as the next digit of our solution. 
Result so far: 121.0
If we subtract 851 from 1636, we get 785.
Include the next digit (1) from the dividend after 785, then repeat: 7851 / 851

Going ahead to step 7:
The number 851 fits into 7851 9 times, leaving a remainder of 192.
The next digit of our result is 9. 
Result so far: 1219.0
If we take 7659 away from 7851, we end up with 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Moving on to step 8:
The number 851 fits into 1920 2 times, leaving a remainder of 218.
Use 2 as the next digit of our solution. 
Result so far: 1219.2
The remainder is 218 after subtracting 1702 from 1920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Let's proceed to step 9:
851 goes into 2180 2 times with a remainder of 478.
Record the quotient 2 as the next digit in the result. 
Result so far: 1219.22
If we take 1702 away from 2180, we end up with 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

After the division, we end up with 1219.22 and a remainder of 0.478.