We're dividing 6352457 by 137 
Our goal is to divide 6352457 by 137.

On to step 1:
If we divide 6 by 137, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 137

Advancing to step 2:
137 goes into 63 0 times with a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Include the next digit (5) from the dividend after 63, then repeat: 635 / 137

Going ahead to step 3:
137 can be fit into 635 4 times, resulting in a remainder of 87.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 548 from 635 leaves us with 87.
Grab the next digit (2) from the dividend, add it to 87, then carry on: 872 / 137

Moving on to step 4:
If we divide 872 by 137, we get 6 and a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 46.0
Deduct 822 from 872 and we're left with 50.
Append the next digit (4) from the dividend to 50 and continue with: 504 / 137

Moving on to step 5:
137 goes into 504 3 times with a remainder of 93.
Put 3 as the next digit of the answer. 
Result so far: 463.0
The remainder is 93 after subtracting 411 from 504.
Grab the next digit (5) from the dividend, add it to 93, then carry on: 935 / 137

Moving on to step 6:
If we divide 935 by 137, we get 6 and a remainder of 113.
Put 6 as the next digit of the answer. 
Result so far: 4636.0
Deduct 822 from 935 and we're left with 113.
Include the next digit (7) from the dividend after 113, then repeat: 1137 / 137

Going ahead to step 7:
137 can be fit into 1137 8 times, resulting in a remainder of 41.
Use 8 as the next digit of our solution. 
Result so far: 46368.0
Subtracting 1096 from 1137 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 8:
410 divided by 137 is 2 with a remainder of 136.
The next digit of our result is 2. 
Result so far: 46368.2
Subtract 274 from 410 to get 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Going ahead to step 9:
The number 137 fits into 1360 9 times, leaving a remainder of 127.
The number 9 becomes the next digit in our result. 
Result so far: 46368.29
Subtract 1233 from 1360 to get 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1270, and continue the process.

On to step 10:
When dividing 1270 by 137, we get 9 with a remainder of 37.
Record the quotient 9 as the next digit in the result. 
Result so far: 46368.299
Subtracting 1233 from 1270 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

After the division, we end up with 46368.299 and a remainder of 0.0037.