We look at the division of 35359467 by 669 
We want to figure out the number of times 35359467 can be divided by 669.

Let's proceed to step 1:
669 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 669

Advancing to step 2:
35 divided by 669 is 0 with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Include the next digit (3) from the dividend after 35, then repeat: 353 / 669

Let's proceed to step 3:
353 divided by 669 is 0 with a remainder of 353.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 353 leaves us with 353.
Take the next digit (5) from the dividend and append it to 353, then repeat: 3535 / 669

Step 4:
669 goes into 3535 5 times with a remainder of 190.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 3345 from 3535 leaves us with 190.
Fetch the next digit (9) from the dividend, attach it to 190 and continue: 1909 / 669

Let's proceed to step 5:
The number 669 fits into 1909 2 times, leaving a remainder of 571.
Write down 2 as next digit of the result. 
Result so far: 52.0
Subtract 1338 from 1909 to get 571.
Fetch the next digit (4) from the dividend, attach it to 571 and continue: 5714 / 669

Advancing to step 6:
If we divide 5714 by 669, we get 8 and a remainder of 362.
Write down 8 as next digit of the result. 
Result so far: 528.0
Deduct 5352 from 5714 and we're left with 362.
Append the next digit (6) from the dividend to 362 and continue with: 3626 / 669

Moving on to step 7:
669 can be fit into 3626 5 times, resulting in a remainder of 281.
Record the quotient 5 as the next digit in the result. 
Result so far: 5285.0
Deduct 3345 from 3626 and we're left with 281.
Fetch the next digit (7) from the dividend, attach it to 281 and continue: 2817 / 669

Advancing to step 8:
2817 divided by 669 is 4 with a remainder of 141.
Put 4 as the next digit of the answer. 
Result so far: 52854.0
If we subtract 2676 from 2817, we get 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

Let's proceed to step 9:
When dividing 1410 by 669, we get 2 with a remainder of 72.
Put 2 as the next digit of the answer. 
Result so far: 52854.2
If we take 1338 away from 1410, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 10:
669 goes into 720 1 times with a remainder of 51.
Put 1 as the next digit of the answer. 
Result so far: 52854.21
Deduct 669 from 720 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 11:
510 divided by 669 is 0 with a remainder of 510.
Record the quotient 0 as the next digit in the result. 
Result so far: 52854.21
If we take 0 away from 510, we end up with 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5100, and continue the process.

Step 12:
The number 669 fits into 5100 7 times, leaving a remainder of 417.
The number 7 becomes the next digit in our result. 
Result so far: 52854.2107
Subtract 4683 from 5100 to get 417.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4170, and continue the process.

Going ahead to step 13:
If we divide 4170 by 669, we get 6 and a remainder of 156.
Write down 6 as next digit of the result. 
Result so far: 52854.21076
Deduct 4014 from 4170 and we're left with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Going ahead to step 14:
669 can be fit into 1560 2 times, resulting in a remainder of 222.
Put 2 as the next digit of the answer. 
Result so far: 52854.210762
Deduct 1338 from 1560 and we're left with 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

On to step 15:
669 can be fit into 2220 3 times, resulting in a remainder of 213.
Use 3 as the next digit of our solution. 
Result so far: 52854.2107623
Deduct 2007 from 2220 and we're left with 213.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2130, and continue the process.

Let's proceed to step 16:
If we divide 2130 by 669, we get 3 and a remainder of 123.
Put 3 as the next digit of the answer. 
Result so far: 52854.21076233
Deduct 2007 from 2130 and we're left with 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

The final outcome is 52854.21076233, with a leftover of 1.23e-07.