Let's divide 126674 by 35
We want to figure out the number of times 126674 can be divided by 35.

Step 1:
If we divide 1 by 35, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 35

Step 2:
12 divided by 35 is 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 35

On to step 3:
The number 35 fits into 126 3 times, leaving a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 105 from 126 and we're left with 21.
Take the next digit (6) from the dividend and append it to 21, then repeat: 216 / 35

Going ahead to step 4:
The number 35 fits into 216 6 times, leaving a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 36.0
The remainder is 6 after subtracting 210 from 216.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 35

Step 5:
The number 35 fits into 67 1 times, leaving a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 361.0
If we subtract 35 from 67, we get 32.
Fetch the next digit (4) from the dividend, attach it to 32 and continue: 324 / 35

Going ahead to step 6:
35 can be fit into 324 9 times, resulting in a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 3619.0
If we subtract 315 from 324, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
35 goes into 90 2 times with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 3619.2
If we take 70 away from 90, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
When dividing 200 by 35, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 3619.25
If we take 175 away from 200, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
35 goes into 250 7 times with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 3619.257
Subtracting 245 from 250 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 10:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The next digit of our result is 1. 
Result so far: 3619.2571
Subtracting 35 from 50 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 11:
35 can be fit into 150 4 times, resulting in a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 3619.25714
Deduct 140 from 150 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.

Let's proceed to step 12:
When dividing 100 by 35, we get 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 3619.257142
If we take 70 away from 100, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
35 goes into 300 8 times with a remainder of 20.
The next digit of our result is 8. 
Result so far: 3619.2571428
Subtracting 280 from 300 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 14:
When dividing 200 by 35, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 3619.25714285
Subtract 175 from 200 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 3619.25714285 with a remaining 2.5e-08.