We look at the division of 354514 by 57 
We want to figure out the number of times 354514 can be divided by 57.

Step 1:
If we divide 3 by 57, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 57

Advancing to step 2:
The number 57 fits into 35 0 times, leaving a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Grab the next digit (4) from the dividend, add it to 35, then carry on: 354 / 57

On to step 3:
If we divide 354 by 57, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 342 from 354 and we're left with 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 57

Step 4:
57 can be fit into 125 2 times, resulting in a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 62.0
Deduct 114 from 125 and we're left with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 57

Going ahead to step 5:
When dividing 111 by 57, we get 1 with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 621.0
If we subtract 57 from 111, we get 54.
Fetch the next digit (4) from the dividend, attach it to 54 and continue: 544 / 57

Step 6:
The number 57 fits into 544 9 times, leaving a remainder of 31.
The next digit of our result is 9. 
Result so far: 6219.0
If we subtract 513 from 544, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
If we divide 310 by 57, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6219.5
Deduct 285 from 310 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
250 divided by 57 is 4 with a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 6219.54
Subtract 228 from 250 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 9:
If we divide 220 by 57, we get 3 and a remainder of 49.
Use 3 as the next digit of our solution. 
Result so far: 6219.543
If we take 171 away from 220, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 10:
57 goes into 490 8 times with a remainder of 34.
The next digit of our result is 8. 
Result so far: 6219.5438
The remainder is 34 after subtracting 456 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 11:
The number 57 fits into 340 5 times, leaving a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 6219.54385
Subtracting 285 from 340 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 12:
If we divide 550 by 57, we get 9 and a remainder of 37.
The next digit of our result is 9. 
Result so far: 6219.543859
If we subtract 513 from 550, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 13:
57 can be fit into 370 6 times, resulting in a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 6219.5438596
If we take 342 away from 370, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 14:
57 can be fit into 280 4 times, resulting in a remainder of 52.
The next digit of our result is 4. 
Result so far: 6219.54385964
If we take 228 away from 280, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The quotient of the division is 6219.54385964, and the remainder is 5.2e-08.