We look at the division of 1436541 by 974 
We want to divide 1436541 by 974.

Going ahead to step 1:
The number 974 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 974

On to step 2:
The number 974 fits into 14 0 times, leaving a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Append the next digit (3) from the dividend to 14 and continue with: 143 / 974

On to step 3:
The number 974 fits into 143 0 times, leaving a remainder of 143.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 143, we end up with 143.
Grab the next digit (6) from the dividend, add it to 143, then carry on: 1436 / 974

Step 4:
1436 divided by 974 is 1 with a remainder of 462.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 974 from 1436 and we're left with 462.
Grab the next digit (5) from the dividend, add it to 462, then carry on: 4625 / 974

Moving on to step 5:
974 goes into 4625 4 times with a remainder of 729.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Subtract 3896 from 4625 to get 729.
Include the next digit (4) from the dividend after 729, then repeat: 7294 / 974

Moving on to step 6:
The number 974 fits into 7294 7 times, leaving a remainder of 476.
The next digit of our result is 7. 
Result so far: 147.0
Subtracting 6818 from 7294 leaves us with 476.
Append the next digit (1) from the dividend to 476 and continue with: 4761 / 974

Moving on to step 7:
If we divide 4761 by 974, we get 4 and a remainder of 865.
Use 4 as the next digit of our solution. 
Result so far: 1474.0
Subtracting 3896 from 4761 leaves us with 865.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8650, and continue the process.

Let's proceed to step 8:
974 can be fit into 8650 8 times, resulting in a remainder of 858.
The next digit of our result is 8. 
Result so far: 1474.8
Subtract 7792 from 8650 to get 858.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8580, and continue the process.

Step 9:
974 goes into 8580 8 times with a remainder of 788.
Record the quotient 8 as the next digit in the result. 
Result so far: 1474.88
If we subtract 7792 from 8580, we get 788.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7880, and continue the process.

The quotient of the division is 1474.88, and the remainder is 0.788.