377673 ÷ 34 
We want to figure out the number of times 377673 can be divided by 34.

Going ahead to step 1:
34 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 34

Moving on to step 2:
If we divide 37 by 34, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 3 after subtracting 34 from 37.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 34

Going ahead to step 3:
The number 34 fits into 37 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 34 away from 37, we end up with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 34

Advancing to step 4:
If we divide 36 by 34, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 111.0
If we take 34 away from 36, we end up with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 34

Going ahead to step 5:
If we divide 27 by 34, we get 0 and a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 1110.0
If we subtract 0 from 27, we get 27.
Append the next digit (3) from the dividend to 27 and continue with: 273 / 34

Step 6:
The number 34 fits into 273 8 times, leaving a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 11108.0
Subtracting 272 from 273 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
34 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 11108.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
When dividing 100 by 34, we get 2 with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 11108.02
Subtract 68 from 100 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 9:
When dividing 320 by 34, we get 9 with a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 11108.029
If we take 306 away from 320, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 10:
34 goes into 140 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 11108.0294
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
When dividing 40 by 34, we get 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 11108.02941
The remainder is 6 after subtracting 34 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 12:
34 goes into 60 1 times with a remainder of 26.
The next digit of our result is 1. 
Result so far: 11108.029411
Subtract 34 from 60 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 11108.029411, and the remainder is 2.6e-06.