35769907 divided by 516 
We're looking to find how many times 516 goes into 35769907.

Let's proceed to step 1:
If we divide 3 by 516, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 516

Going ahead to step 2:
When dividing 35 by 516, we get 0 with a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Grab the next digit (7) from the dividend, add it to 35, then carry on: 357 / 516

On to step 3:
When dividing 357 by 516, we get 0 with a remainder of 357.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 357, we get 357.
Append the next digit (6) from the dividend to 357 and continue with: 3576 / 516

Moving on to step 4:
If we divide 3576 by 516, we get 6 and a remainder of 480.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 3096 from 3576 leaves us with 480.
Take the next digit (9) from the dividend and append it to 480, then repeat: 4809 / 516

Let's proceed to step 5:
4809 divided by 516 is 9 with a remainder of 165.
Put 9 as the next digit of the answer. 
Result so far: 69.0
The remainder is 165 after subtracting 4644 from 4809.
Grab the next digit (9) from the dividend, add it to 165, then carry on: 1659 / 516

Going ahead to step 6:
1659 divided by 516 is 3 with a remainder of 111.
Put 3 as the next digit of the answer. 
Result so far: 693.0
Deduct 1548 from 1659 and we're left with 111.
Fetch the next digit (0) from the dividend, attach it to 111 and continue: 1110 / 516

On to step 7:
516 can be fit into 1110 2 times, resulting in a remainder of 78.
The number 2 becomes the next digit in our result. 
Result so far: 6932.0
If we take 1032 away from 1110, we end up with 78.
Append the next digit (7) from the dividend to 78 and continue with: 787 / 516

Going ahead to step 8:
516 can be fit into 787 1 times, resulting in a remainder of 271.
Use 1 as the next digit of our solution. 
Result so far: 69321.0
The remainder is 271 after subtracting 516 from 787.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2710, and continue the process.

Step 9:
516 goes into 2710 5 times with a remainder of 130.
The next digit of our result is 5. 
Result so far: 69321.5
Subtracting 2580 from 2710 leaves us with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Advancing to step 10:
When dividing 1300 by 516, we get 2 with a remainder of 268.
Put 2 as the next digit of the answer. 
Result so far: 69321.52
Subtracting 1032 from 1300 leaves us with 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

Let's proceed to step 11:
When dividing 2680 by 516, we get 5 with a remainder of 100.
Put 5 as the next digit of the answer. 
Result so far: 69321.525
The remainder is 100 after subtracting 2580 from 2680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Moving on to step 12:
1000 divided by 516 is 1 with a remainder of 484.
The next digit of our result is 1. 
Result so far: 69321.5251
If we take 516 away from 1000, we end up with 484.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4840, and continue the process.

Moving on to step 13:
516 goes into 4840 9 times with a remainder of 196.
The number 9 becomes the next digit in our result. 
Result so far: 69321.52519
Subtract 4644 from 4840 to get 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Let's proceed to step 14:
When dividing 1960 by 516, we get 3 with a remainder of 412.
The next digit of our result is 3. 
Result so far: 69321.525193
If we subtract 1548 from 1960, we get 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Moving on to step 15:
The number 516 fits into 4120 7 times, leaving a remainder of 508.
Record the quotient 7 as the next digit in the result. 
Result so far: 69321.5251937
If we subtract 3612 from 4120, we get 508.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5080, and continue the process.

Moving on to step 16:
When dividing 5080 by 516, we get 9 with a remainder of 436.
Use 9 as the next digit of our solution. 
Result so far: 69321.52519379
Subtracting 4644 from 5080 leaves us with 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4360, and continue the process.

The final outcome is 69321.52519379, with a leftover of 4.36e-07.