We're dividing 419657 by 69 
Our goal is to divide 419657 by 69.

Let's proceed to step 1:
4 divided by 69 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 69

On to step 2:
If we divide 41 by 69, we get 0 and a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Bring next digit (9) of the dividend behind the 41 and repeat the process: 419 / 69

Advancing to step 3:
If we divide 419 by 69, we get 6 and a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 414 from 419 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 69

Going ahead to step 4:
The number 69 fits into 56 0 times, leaving a remainder of 56.
Record the quotient 0 as the next digit in the result. 
Result so far: 60.0
If we subtract 0 from 56, we get 56.
Grab the next digit (5) from the dividend, add it to 56, then carry on: 565 / 69

Going ahead to step 5:
The number 69 fits into 565 8 times, leaving a remainder of 13.
Write down 8 as next digit of the result. 
Result so far: 608.0
Subtracting 552 from 565 leaves us with 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 69

Moving on to step 6:
137 divided by 69 is 1 with a remainder of 68.
Write down 1 as next digit of the result. 
Result so far: 6081.0
Deduct 69 from 137 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 7:
When dividing 680 by 69, we get 9 with a remainder of 59.
Record the quotient 9 as the next digit in the result. 
Result so far: 6081.9
Deduct 621 from 680 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 8:
The number 69 fits into 590 8 times, leaving a remainder of 38.
Put 8 as the next digit of the answer. 
Result so far: 6081.98
The remainder is 38 after subtracting 552 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 9:
The number 69 fits into 380 5 times, leaving a remainder of 35.
The next digit of our result is 5. 
Result so far: 6081.985
The remainder is 35 after subtracting 345 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 10:
69 goes into 350 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 6081.9855
Subtract 345 from 350 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 6081.9855, and the remainder is 5e-05.