We're dividing 7735556 by 353 
We want to figure out the number of times 7735556 can be divided by 353.

Going ahead to step 1:
If we divide 7 by 353, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 353

Going ahead to step 2:
The number 353 fits into 77 0 times, leaving a remainder of 77.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 77 to get 77.
Take the next digit (3) from the dividend and append it to 77, then repeat: 773 / 353

Moving on to step 3:
353 goes into 773 2 times with a remainder of 67.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 706 from 773 to get 67.
Grab the next digit (5) from the dividend, add it to 67, then carry on: 675 / 353

Step 4:
353 goes into 675 1 times with a remainder of 322.
The next digit of our result is 1. 
Result so far: 21.0
The remainder is 322 after subtracting 353 from 675.
Grab the next digit (5) from the dividend, add it to 322, then carry on: 3225 / 353

On to step 5:
When dividing 3225 by 353, we get 9 with a remainder of 48.
Record the quotient 9 as the next digit in the result. 
Result so far: 219.0
If we take 3177 away from 3225, we end up with 48.
Bring next digit (5) of the dividend behind the 48 and repeat the process: 485 / 353

On to step 6:
485 divided by 353 is 1 with a remainder of 132.
Use 1 as the next digit of our solution. 
Result so far: 2191.0
Deduct 353 from 485 and we're left with 132.
Append the next digit (6) from the dividend to 132 and continue with: 1326 / 353

On to step 7:
1326 divided by 353 is 3 with a remainder of 267.
Write down 3 as next digit of the result. 
Result so far: 21913.0
If we subtract 1059 from 1326, we get 267.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2670, and continue the process.

Moving on to step 8:
If we divide 2670 by 353, we get 7 and a remainder of 199.
Put 7 as the next digit of the answer. 
Result so far: 21913.7
The remainder is 199 after subtracting 2471 from 2670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

Moving on to step 9:
The number 353 fits into 1990 5 times, leaving a remainder of 225.
Write down 5 as next digit of the result. 
Result so far: 21913.75
If we take 1765 away from 1990, we end up with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Advancing to step 10:
If we divide 2250 by 353, we get 6 and a remainder of 132.
The number 6 becomes the next digit in our result. 
Result so far: 21913.756
The remainder is 132 after subtracting 2118 from 2250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Moving on to step 11:
1320 divided by 353 is 3 with a remainder of 261.
The next digit of our result is 3. 
Result so far: 21913.7563
If we take 1059 away from 1320, we end up with 261.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2610, and continue the process.

Moving on to step 12:
When dividing 2610 by 353, we get 7 with a remainder of 139.
Put 7 as the next digit of the answer. 
Result so far: 21913.75637
Subtracting 2471 from 2610 leaves us with 139.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1390, and continue the process.

Advancing to step 13:
When dividing 1390 by 353, we get 3 with a remainder of 331.
Use 3 as the next digit of our solution. 
Result so far: 21913.756373
If we take 1059 away from 1390, we end up with 331.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3310, and continue the process.

Going ahead to step 14:
353 can be fit into 3310 9 times, resulting in a remainder of 133.
The next digit of our result is 9. 
Result so far: 21913.7563739
Subtract 3177 from 3310 to get 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

On to step 15:
353 goes into 1330 3 times with a remainder of 271.
Use 3 as the next digit of our solution. 
Result so far: 21913.75637393
If we subtract 1059 from 1330, we get 271.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2710, and continue the process.

In conclusion, the division gives 21913.75637393 with a balance of 2.71e-07.