Let's divide 671034 by 61
Our goal is to divide 671034 by 61.

On to step 1:
If we divide 6 by 61, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 61

Moving on to step 2:
67 divided by 61 is 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 61 from 67 and we're left with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 61

Going ahead to step 3:
The number 61 fits into 61 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 61 from 61 leaves us with 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 61

Let's proceed to step 4:
61 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 110.0
If we take 0 away from 0, we end up with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 61

Step 5:
61 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 1100.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 61

On to step 6:
61 can be fit into 34 0 times, resulting in a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 11000.0
Deduct 0 from 34 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
340 divided by 61 is 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 11000.5
Subtracting 305 from 340 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
61 can be fit into 350 5 times, resulting in a remainder of 45.
The next digit of our result is 5. 
Result so far: 11000.55
If we subtract 305 from 350, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The quotient of the division is 11000.55, and the remainder is 0.045.