We look at the division of 377936 by 34 
We're looking to find how many times 34 goes into 377936.

Advancing to step 1:
The number 34 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 34

Moving on to step 2:
34 goes into 37 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 34 from 37 leaves us with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 34

Going ahead to step 3:
37 divided by 34 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 3 after subtracting 34 from 37.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 34

On to step 4:
When dividing 39 by 34, we get 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 111.0
The remainder is 5 after subtracting 34 from 39.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 34

Moving on to step 5:
If we divide 53 by 34, we get 1 and a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1111.0
Subtract 34 from 53 to get 19.
Append the next digit (6) from the dividend to 19 and continue with: 196 / 34

Advancing to step 6:
196 divided by 34 is 5 with a remainder of 26.
Use 5 as the next digit of our solution. 
Result so far: 11115.0
The remainder is 26 after subtracting 170 from 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
34 can be fit into 260 7 times, resulting in a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 11115.7
Subtracting 238 from 260 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
The number 34 fits into 220 6 times, leaving a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 11115.76
Subtracting 204 from 220 leaves us 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.

Going ahead to step 9:
The number 34 fits into 160 4 times, leaving a remainder of 24.
The next digit of our result is 4. 
Result so far: 11115.764
If we subtract 136 from 160, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 10:
If we divide 240 by 34, we get 7 and a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 11115.7647
Deduct 238 from 240 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 11:
34 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 11115.7647
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
200 divided by 34 is 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 11115.764705
The remainder is 30 after subtracting 170 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 13:
If we divide 300 by 34, we get 8 and a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 11115.7647058
If we subtract 272 from 300, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 14:
When dividing 280 by 34, we get 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 11115.76470588
Deduct 272 from 280 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 11115.76470588, and the remainder is 8e-09.