35917403 ÷ 948 
Our goal is to divide 35917403 by 948.

Going ahead to step 1:
When dividing 3 by 948, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 948

Going ahead to step 2:
If we divide 35 by 948, we get 0 and a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Take the next digit (9) from the dividend and append it to 35, then repeat: 359 / 948

Advancing to step 3:
359 divided by 948 is 0 with a remainder of 359.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 359 leaves us with 359.
Bring next digit (1) of the dividend behind the 359 and repeat the process: 3591 / 948

Advancing to step 4:
If we divide 3591 by 948, we get 3 and a remainder of 747.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 2844 from 3591 leaves us with 747.
Append the next digit (7) from the dividend to 747 and continue with: 7477 / 948

On to step 5:
948 goes into 7477 7 times with a remainder of 841.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
The remainder is 841 after subtracting 6636 from 7477.
Append the next digit (4) from the dividend to 841 and continue with: 8414 / 948

On to step 6:
If we divide 8414 by 948, we get 8 and a remainder of 830.
The next digit of our result is 8. 
Result so far: 378.0
Subtract 7584 from 8414 to get 830.
Append the next digit (0) from the dividend to 830 and continue with: 8300 / 948

Let's proceed to step 7:
948 goes into 8300 8 times with a remainder of 716.
Put 8 as the next digit of the answer. 
Result so far: 3788.0
Deduct 7584 from 8300 and we're left with 716.
Fetch the next digit (3) from the dividend, attach it to 716 and continue: 7163 / 948

Step 8:
If we divide 7163 by 948, we get 7 and a remainder of 527.
Use 7 as the next digit of our solution. 
Result so far: 37887.0
If we subtract 6636 from 7163, we get 527.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5270, and continue the process.

Going ahead to step 9:
When dividing 5270 by 948, we get 5 with a remainder of 530.
Use 5 as the next digit of our solution. 
Result so far: 37887.5
If we subtract 4740 from 5270, we get 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5300, and continue the process.

Let's proceed to step 10:
The number 948 fits into 5300 5 times, leaving a remainder of 560.
Record the quotient 5 as the next digit in the result. 
Result so far: 37887.55
If we subtract 4740 from 5300, we get 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

The final result is 37887.55 with a remainder of 0.56.