We look at the division of 37655040 by 953 
Our goal is to divide 37655040 by 953.

Let's proceed to step 1:
When dividing 3 by 953, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 953

On to step 2:
37 divided by 953 is 0 with a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Bring next digit (6) of the dividend behind the 37 and repeat the process: 376 / 953

Going ahead to step 3:
376 divided by 953 is 0 with a remainder of 376.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 376 leaves us with 376.
Append the next digit (5) from the dividend to 376 and continue with: 3765 / 953

Let's proceed to step 4:
The number 953 fits into 3765 3 times, leaving a remainder of 906.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 2859 from 3765 and we're left with 906.
Bring next digit (5) of the dividend behind the 906 and repeat the process: 9065 / 953

On to step 5:
The number 953 fits into 9065 9 times, leaving a remainder of 488.
Write down 9 as next digit of the result. 
Result so far: 39.0
The remainder is 488 after subtracting 8577 from 9065.
Bring next digit (0) of the dividend behind the 488 and repeat the process: 4880 / 953

Step 6:
When dividing 4880 by 953, we get 5 with a remainder of 115.
The next digit of our result is 5. 
Result so far: 395.0
Subtracting 4765 from 4880 leaves us with 115.
Take the next digit (4) from the dividend and append it to 115, then repeat: 1154 / 953

Step 7:
If we divide 1154 by 953, we get 1 and a remainder of 201.
Put 1 as the next digit of the answer. 
Result so far: 3951.0
If we take 953 away from 1154, we end up with 201.
Grab the next digit (0) from the dividend, add it to 201, then carry on: 2010 / 953

Moving on to step 8:
When dividing 2010 by 953, we get 2 with a remainder of 104.
Use 2 as the next digit of our solution. 
Result so far: 39512.0
Subtracting 1906 from 2010 leaves us with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Going ahead to step 9:
953 goes into 1040 1 times with a remainder of 87.
Use 1 as the next digit of our solution. 
Result so far: 39512.1
Subtract 953 from 1040 to get 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Step 10:
If we divide 870 by 953, we get 0 and a remainder of 870.
Write down 0 as next digit of the result. 
Result so far: 39512.1
The remainder is 870 after subtracting 0 from 870.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8700, and continue the process.

Step 11:
If we divide 8700 by 953, we get 9 and a remainder of 123.
The next digit of our result is 9. 
Result so far: 39512.109
If we take 8577 away from 8700, we end up with 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

Advancing to step 12:
953 can be fit into 1230 1 times, resulting in a remainder of 277.
The next digit of our result is 1. 
Result so far: 39512.1091
Subtract 953 from 1230 to get 277.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2770, and continue the process.

Let's proceed to step 13:
2770 divided by 953 is 2 with a remainder of 864.
Use 2 as the next digit of our solution. 
Result so far: 39512.10912
If we subtract 1906 from 2770, we get 864.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8640, and continue the process.

Advancing to step 14:
953 can be fit into 8640 9 times, resulting in a remainder of 63.
Write down 9 as next digit of the result. 
Result so far: 39512.109129
The remainder is 63 after subtracting 8577 from 8640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 15:
953 can be fit into 630 0 times, resulting in a remainder of 630.
The number 0 becomes the next digit in our result. 
Result so far: 39512.109129
Subtract 0 from 630 to get 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6300, and continue the process.

Moving on to step 16:
When dividing 6300 by 953, we get 6 with a remainder of 582.
Write down 6 as next digit of the result. 
Result so far: 39512.10912906
Subtract 5718 from 6300 to get 582.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5820, and continue the process.

The final outcome is 39512.10912906, with a leftover of 5.82e-07.