We're dividing 35099086 by 970 
We want to figure out the number of times 35099086 can be divided by 970.

On to step 1:
3 divided by 970 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 970

Moving on to step 2:
The number 970 fits into 35 0 times, leaving a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Take the next digit (0) from the dividend and append it to 35, then repeat: 350 / 970

Step 3:
When dividing 350 by 970, we get 0 with a remainder of 350.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 350 leaves us with 350.
Include the next digit (9) from the dividend after 350, then repeat: 3509 / 970

Let's proceed to step 4:
When dividing 3509 by 970, we get 3 with a remainder of 599.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 2910 from 3509 to get 599.
Bring next digit (9) of the dividend behind the 599 and repeat the process: 5999 / 970

Moving on to step 5:
970 goes into 5999 6 times with a remainder of 179.
Put 6 as the next digit of the answer. 
Result so far: 36.0
Subtract 5820 from 5999 to get 179.
Grab the next digit (0) from the dividend, add it to 179, then carry on: 1790 / 970

Advancing to step 6:
1790 divided by 970 is 1 with a remainder of 820.
Write down 1 as next digit of the result. 
Result so far: 361.0
Subtracting 970 from 1790 leaves us with 820.
Take the next digit (8) from the dividend and append it to 820, then repeat: 8208 / 970

Going ahead to step 7:
If we divide 8208 by 970, we get 8 and a remainder of 448.
The next digit of our result is 8. 
Result so far: 3618.0
Subtracting 7760 from 8208 leaves us with 448.
Grab the next digit (6) from the dividend, add it to 448, then carry on: 4486 / 970

Moving on to step 8:
4486 divided by 970 is 4 with a remainder of 606.
Put 4 as the next digit of the answer. 
Result so far: 36184.0
Subtract 3880 from 4486 to get 606.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6060, and continue the process.

On to step 9:
If we divide 6060 by 970, we get 6 and a remainder of 240.
Record the quotient 6 as the next digit in the result. 
Result so far: 36184.6
Subtracting 5820 from 6060 leaves us with 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Going ahead to step 10:
The number 970 fits into 2400 2 times, leaving a remainder of 460.
The number 2 becomes the next digit in our result. 
Result so far: 36184.62
If we take 1940 away from 2400, we end up with 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Step 11:
If we divide 4600 by 970, we get 4 and a remainder of 720.
Use 4 as the next digit of our solution. 
Result so far: 36184.624
Deduct 3880 from 4600 and we're left with 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7200, and continue the process.

Step 12:
7200 divided by 970 is 7 with a remainder of 410.
Use 7 as the next digit of our solution. 
Result so far: 36184.6247
Subtract 6790 from 7200 to get 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

Step 13:
970 can be fit into 4100 4 times, resulting in a remainder of 220.
Put 4 as the next digit of the answer. 
Result so far: 36184.62474
If we subtract 3880 from 4100, we get 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Let's proceed to step 14:
2200 divided by 970 is 2 with a remainder of 260.
Use 2 as the next digit of our solution. 
Result so far: 36184.624742
Deduct 1940 from 2200 and we're left with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

On to step 15:
2600 divided by 970 is 2 with a remainder of 660.
The number 2 becomes the next digit in our result. 
Result so far: 36184.6247422
Subtract 1940 from 2600 to get 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6600, and continue the process.

The final outcome is 36184.6247422, with a leftover of 6.6e-06.