We're dividing 1376257 by 974 
We want to figure out the number of times 1376257 can be divided by 974.

Going ahead to step 1:
974 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 974

Step 2:
When dividing 13 by 974, we get 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 974

Advancing to step 3:
If we divide 137 by 974, we get 0 and a remainder of 137.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 137 leaves us with 137.
Append the next digit (6) from the dividend to 137 and continue with: 1376 / 974

Step 4:
When dividing 1376 by 974, we get 1 with a remainder of 402.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 974 from 1376 leaves us with 402.
Take the next digit (2) from the dividend and append it to 402, then repeat: 4022 / 974

On to step 5:
The number 974 fits into 4022 4 times, leaving a remainder of 126.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we take 3896 away from 4022, we end up with 126.
Grab the next digit (5) from the dividend, add it to 126, then carry on: 1265 / 974

Let's proceed to step 6:
974 goes into 1265 1 times with a remainder of 291.
The next digit of our result is 1. 
Result so far: 141.0
If we take 974 away from 1265, we end up with 291.
Include the next digit (7) from the dividend after 291, then repeat: 2917 / 974

Let's proceed to step 7:
974 can be fit into 2917 2 times, resulting in a remainder of 969.
Record the quotient 2 as the next digit in the result. 
Result so far: 1412.0
Deduct 1948 from 2917 and we're left with 969.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9690, and continue the process.

Step 8:
If we divide 9690 by 974, we get 9 and a remainder of 924.
Write down 9 as next digit of the result. 
Result so far: 1412.9
Deduct 8766 from 9690 and we're left with 924.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9240, and continue the process.

Step 9:
974 goes into 9240 9 times with a remainder of 474.
The next digit of our result is 9. 
Result so far: 1412.99
Subtracting 8766 from 9240 leaves us with 474.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4740, and continue the process.

The quotient of the division is 1412.99, and the remainder is 0.474.