We look at the division of 691442 by 655 
We want to divide 691442 by 655.

Moving on to step 1:
When dividing 6 by 655, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 655

On to step 2:
If we divide 69 by 655, we get 0 and a remainder of 69.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 69, we end up with 69.
Bring next digit (1) of the dividend behind the 69 and repeat the process: 691 / 655

Going ahead to step 3:
655 goes into 691 1 times with a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 655 from 691 leaves us with 36.
Bring next digit (4) of the dividend behind the 36 and repeat the process: 364 / 655

Step 4:
655 goes into 364 0 times with a remainder of 364.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 364 leaves us with 364.
Take the next digit (4) from the dividend and append it to 364, then repeat: 3644 / 655

Going ahead to step 5:
When dividing 3644 by 655, we get 5 with a remainder of 369.
Use 5 as the next digit of our solution. 
Result so far: 105.0
Deduct 3275 from 3644 and we're left with 369.
Append the next digit (2) from the dividend to 369 and continue with: 3692 / 655

Step 6:
When dividing 3692 by 655, we get 5 with a remainder of 417.
Use 5 as the next digit of our solution. 
Result so far: 1055.0
Subtracting 3275 from 3692 leaves us with 417.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4170, and continue the process.

Advancing to step 7:
655 can be fit into 4170 6 times, resulting in a remainder of 240.
The next digit of our result is 6. 
Result so far: 1055.6
Deduct 3930 from 4170 and we're left with 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Advancing to step 8:
655 goes into 2400 3 times with a remainder of 435.
Use 3 as the next digit of our solution. 
Result so far: 1055.63
Subtract 1965 from 2400 to get 435.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4350, and continue the process.

On to step 9:
When dividing 4350 by 655, we get 6 with a remainder of 420.
Use 6 as the next digit of our solution. 
Result so far: 1055.636
The remainder is 420 after subtracting 3930 from 4350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Going ahead to step 10:
The number 655 fits into 4200 6 times, leaving a remainder of 270.
Put 6 as the next digit of the answer. 
Result so far: 1055.6366
Subtract 3930 from 4200 to get 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

The quotient of the division is 1055.6366, and the remainder is 0.0027.