137629 divided by 35 
We're looking to find how many times 35 goes into 137629.

Advancing to step 1:
35 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 35

On to step 2:
13 divided by 35 is 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 35

Advancing to step 3:
The number 35 fits into 137 3 times, leaving a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 105 from 137 to get 32.
Take the next digit (6) from the dividend and append it to 32, then repeat: 326 / 35

Step 4:
If we divide 326 by 35, we get 9 and a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 39.0
The remainder is 11 after subtracting 315 from 326.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 35

Let's proceed to step 5:
The number 35 fits into 112 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 393.0
If we subtract 105 from 112, we get 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 35

Moving on to step 6:
35 goes into 79 2 times with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 3932.0
Deduct 70 from 79 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
35 goes into 90 2 times with a remainder of 20.
The next digit of our result is 2. 
Result so far: 3932.2
If we subtract 70 from 90, we 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.

Step 8:
35 goes into 200 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 3932.25
Deduct 175 from 200 and we're left 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.

Advancing to step 9:
When dividing 250 by 35, we get 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 3932.257
Subtract 245 from 250 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
35 can be fit into 50 1 times, resulting in a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 3932.2571
If we take 35 away from 50, we end up 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.

Advancing to step 11:
35 goes into 150 4 times with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 3932.25714
Subtracting 140 from 150 leaves us 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.

Step 12:
When dividing 100 by 35, we get 2 with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 3932.257142
Deduct 70 from 100 and we're left 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.

Moving on to step 13:
If we divide 300 by 35, we get 8 and a remainder of 20.
The next digit of our result is 8. 
Result so far: 3932.2571428
If we subtract 280 from 300, we 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.

Going ahead to step 14:
35 goes into 200 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 3932.25714285
Subtracting 175 from 200 leaves us 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.

Our division results in 3932.25714285 with a remaining 2.5e-08.