We look at the division of 3742667 by 956 
Our goal is to divide 3742667 by 956.

Moving on to step 1:
956 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 956

Let's proceed to step 2:
956 goes into 37 0 times with a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Include the next digit (4) from the dividend after 37, then repeat: 374 / 956

Let's proceed to step 3:
When dividing 374 by 956, we get 0 with a remainder of 374.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 374 to get 374.
Include the next digit (2) from the dividend after 374, then repeat: 3742 / 956

Moving on to step 4:
When dividing 3742 by 956, we get 3 with a remainder of 874.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 2868 from 3742 and we're left with 874.
Grab the next digit (6) from the dividend, add it to 874, then carry on: 8746 / 956

On to step 5:
If we divide 8746 by 956, we get 9 and a remainder of 142.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
Deduct 8604 from 8746 and we're left with 142.
Include the next digit (6) from the dividend after 142, then repeat: 1426 / 956

On to step 6:
956 can be fit into 1426 1 times, resulting in a remainder of 470.
Use 1 as the next digit of our solution. 
Result so far: 391.0
The remainder is 470 after subtracting 956 from 1426.
Take the next digit (7) from the dividend and append it to 470, then repeat: 4707 / 956

Let's proceed to step 7:
The number 956 fits into 4707 4 times, leaving a remainder of 883.
The next digit of our result is 4. 
Result so far: 3914.0
If we subtract 3824 from 4707, we get 883.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8830, and continue the process.

Going ahead to step 8:
956 can be fit into 8830 9 times, resulting in a remainder of 226.
Write down 9 as next digit of the result. 
Result so far: 3914.9
Subtract 8604 from 8830 to get 226.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

Moving on to step 9:
When dividing 2260 by 956, we get 2 with a remainder of 348.
Write down 2 as next digit of the result. 
Result so far: 3914.92
Deduct 1912 from 2260 and we're left with 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

Step 10:
956 can be fit into 3480 3 times, resulting in a remainder of 612.
Record the quotient 3 as the next digit in the result. 
Result so far: 3914.923
The remainder is 612 after subtracting 2868 from 3480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6120, and continue the process.

Step 11:
956 goes into 6120 6 times with a remainder of 384.
Record the quotient 6 as the next digit in the result. 
Result so far: 3914.9236
Deduct 5736 from 6120 and we're left with 384.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3840, and continue the process.

On to step 12:
The number 956 fits into 3840 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 3914.92364
Deduct 3824 from 3840 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 13:
956 can be fit into 160 0 times, resulting in a remainder of 160.
Put 0 as the next digit of the answer. 
Result so far: 3914.92364
If we take 0 away from 160, we end up with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Let's proceed to step 14:
When dividing 1600 by 956, we get 1 with a remainder of 644.
Use 1 as the next digit of our solution. 
Result so far: 3914.9236401
If we take 956 away from 1600, we end up with 644.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6440, and continue the process.

Going ahead to step 15:
956 can be fit into 6440 6 times, resulting in a remainder of 704.
Write down 6 as next digit of the result. 
Result so far: 3914.92364016
If we subtract 5736 from 6440, we get 704.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7040, and continue the process.

The final result is 3914.92364016 with a remainder of 7.04e-07.