6137 divided by 748 
Let's see how many times 748 fits into 6137.

Moving on to step 1:
748 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 748

On to step 2:
748 can be fit into 61 0 times, resulting in a remainder of 61.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 61 after subtracting 0 from 61.
Fetch the next digit (3) from the dividend, attach it to 61 and continue: 613 / 748

Advancing to step 3:
748 goes into 613 0 times with a remainder of 613.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 613, we end up with 613.
Take the next digit (7) from the dividend and append it to 613, then repeat: 6137 / 748

Step 4:
748 goes into 6137 8 times with a remainder of 153.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 5984 from 6137 leaves us with 153.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1530, and continue the process.

Step 5:
1530 divided by 748 is 2 with a remainder of 34.
Use 2 as the next digit of our solution. 
Result so far: 8.2
The remainder is 34 after subtracting 1496 from 1530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 6:
If we divide 340 by 748, we get 0 and a remainder of 340.
Use 0 as the next digit of our solution. 
Result so far: 8.2
If we subtract 0 from 340, we get 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Let's proceed to step 7:
When dividing 3400 by 748, we get 4 with a remainder of 408.
Use 4 as the next digit of our solution. 
Result so far: 8.204
If we subtract 2992 from 3400, we get 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Step 8:
When dividing 4080 by 748, we get 5 with a remainder of 340.
Put 5 as the next digit of the answer. 
Result so far: 8.2045
Subtracting 3740 from 4080 leaves us with 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Let's proceed to step 9:
748 goes into 3400 4 times with a remainder of 408.
The number 4 becomes the next digit in our result. 
Result so far: 8.20454
Subtracting 2992 from 3400 leaves us with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Moving on to step 10:
If we divide 4080 by 748, we get 5 and a remainder of 340.
The number 5 becomes the next digit in our result. 
Result so far: 8.204545
Subtract 3740 from 4080 to get 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Let's proceed to step 11:
748 goes into 3400 4 times with a remainder of 408.
Write down 4 as next digit of the result. 
Result so far: 8.2045454
Deduct 2992 from 3400 and we're left with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Moving on to step 12:
748 goes into 4080 5 times with a remainder of 340.
The next digit of our result is 5. 
Result so far: 8.20454545
If we subtract 3740 from 4080, we get 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Our division results in 8.20454545 with a remaining 3.4e-07.