4720717 ÷ 657 
We're looking to find how many times 657 goes into 4720717.

Going ahead to step 1:
657 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 657

Moving on to step 2:
The number 657 fits into 47 0 times, leaving a remainder of 47.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 47, we end up with 47.
Append the next digit (2) from the dividend to 47 and continue with: 472 / 657

Moving on to step 3:
657 can be fit into 472 0 times, resulting in a remainder of 472.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 472, we end up with 472.
Fetch the next digit (0) from the dividend, attach it to 472 and continue: 4720 / 657

Step 4:
When dividing 4720 by 657, we get 7 with a remainder of 121.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 4599 from 4720 leaves us with 121.
Grab the next digit (7) from the dividend, add it to 121, then carry on: 1217 / 657

Moving on to step 5:
The number 657 fits into 1217 1 times, leaving a remainder of 560.
The next digit of our result is 1. 
Result so far: 71.0
Subtracting 657 from 1217 leaves us with 560.
Include the next digit (1) from the dividend after 560, then repeat: 5601 / 657

On to step 6:
When dividing 5601 by 657, we get 8 with a remainder of 345.
Put 8 as the next digit of the answer. 
Result so far: 718.0
If we take 5256 away from 5601, we end up with 345.
Include the next digit (7) from the dividend after 345, then repeat: 3457 / 657

Let's proceed to step 7:
657 can be fit into 3457 5 times, resulting in a remainder of 172.
The next digit of our result is 5. 
Result so far: 7185.0
If we subtract 3285 from 3457, we get 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Moving on to step 8:
The number 657 fits into 1720 2 times, leaving a remainder of 406.
Put 2 as the next digit of the answer. 
Result so far: 7185.2
If we subtract 1314 from 1720, we get 406.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

Step 9:
4060 divided by 657 is 6 with a remainder of 118.
Put 6 as the next digit of the answer. 
Result so far: 7185.26
If we take 3942 away from 4060, we end up with 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

Advancing to step 10:
The number 657 fits into 1180 1 times, leaving a remainder of 523.
Write down 1 as next digit of the result. 
Result so far: 7185.261
If we subtract 657 from 1180, we get 523.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5230, and continue the process.

Going ahead to step 11:
657 can be fit into 5230 7 times, resulting in a remainder of 631.
The next digit of our result is 7. 
Result so far: 7185.2617
Subtract 4599 from 5230 to get 631.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6310, and continue the process.

Let's proceed to step 12:
If we divide 6310 by 657, we get 9 and a remainder of 397.
Write down 9 as next digit of the result. 
Result so far: 7185.26179
Subtract 5913 from 6310 to get 397.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3970, and continue the process.

Advancing to step 13:
3970 divided by 657 is 6 with a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 7185.261796
Subtracting 3942 from 3970 leaves us 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.

Step 14:
If we divide 280 by 657, we get 0 and a remainder of 280.
The next digit of our result is 0. 
Result so far: 7185.261796
Deduct 0 from 280 and we're left with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Step 15:
If we divide 2800 by 657, we get 4 and a remainder of 172.
Write down 4 as next digit of the result. 
Result so far: 7185.26179604
If we take 2628 away from 2800, we end up with 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

The final result is 7185.26179604 with a remainder of 1.72e-07.