4434295 divided by 557 
Let's see how many times 557 fits into 4434295.

On to step 1:
When dividing 4 by 557, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 557

Advancing to step 2:
If we divide 44 by 557, we get 0 and a remainder of 44.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 44 after subtracting 0 from 44.
Append the next digit (3) from the dividend to 44 and continue with: 443 / 557

Let's proceed to step 3:
557 can be fit into 443 0 times, resulting in a remainder of 443.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 443 and we're left with 443.
Bring next digit (4) of the dividend behind the 443 and repeat the process: 4434 / 557

Advancing to step 4:
557 can be fit into 4434 7 times, resulting in a remainder of 535.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 535 after subtracting 3899 from 4434.
Append the next digit (2) from the dividend to 535 and continue with: 5352 / 557

Step 5:
When dividing 5352 by 557, we get 9 with a remainder of 339.
The number 9 becomes the next digit in our result. 
Result so far: 79.0
Deduct 5013 from 5352 and we're left with 339.
Bring next digit (9) of the dividend behind the 339 and repeat the process: 3399 / 557

Moving on to step 6:
When dividing 3399 by 557, we get 6 with a remainder of 57.
The number 6 becomes the next digit in our result. 
Result so far: 796.0
Deduct 3342 from 3399 and we're left with 57.
Grab the next digit (5) from the dividend, add it to 57, then carry on: 575 / 557

On to step 7:
When dividing 575 by 557, we get 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 7961.0
Deduct 557 from 575 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
557 goes into 180 0 times with a remainder of 180.
The number 0 becomes the next digit in our result. 
Result so far: 7961.0
Subtract 0 from 180 to get 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

On to step 9:
When dividing 1800 by 557, we get 3 with a remainder of 129.
The number 3 becomes the next digit in our result. 
Result so far: 7961.03
Deduct 1671 from 1800 and we're left with 129.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1290, and continue the process.

Let's proceed to step 10:
The number 557 fits into 1290 2 times, leaving a remainder of 176.
Write down 2 as next digit of the result. 
Result so far: 7961.032
Subtract 1114 from 1290 to get 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Step 11:
The number 557 fits into 1760 3 times, leaving a remainder of 89.
Write down 3 as next digit of the result. 
Result so far: 7961.0323
Subtracting 1671 from 1760 leaves us with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Going ahead to step 12:
557 goes into 890 1 times with a remainder of 333.
The number 1 becomes the next digit in our result. 
Result so far: 7961.03231
Subtracting 557 from 890 leaves us with 333.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3330, and continue the process.

On to step 13:
3330 divided by 557 is 5 with a remainder of 545.
Put 5 as the next digit of the answer. 
Result so far: 7961.032315
Subtracting 2785 from 3330 leaves us with 545.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5450, and continue the process.

Advancing to step 14:
557 goes into 5450 9 times with a remainder of 437.
Put 9 as the next digit of the answer. 
Result so far: 7961.0323159
Subtract 5013 from 5450 to get 437.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4370, and continue the process.

Moving on to step 15:
557 goes into 4370 7 times with a remainder of 471.
The number 7 becomes the next digit in our result. 
Result so far: 7961.03231597
Deduct 3899 from 4370 and we're left with 471.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4710, and continue the process.

The final result is 7961.03231597 with a remainder of 4.71e-07.