We look at the division of 537634 by 57 
We're looking to find how many times 57 goes into 537634.

Going ahead to step 1:
The number 57 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 57

On to step 2:
57 goes into 53 0 times with a remainder of 53.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 53, we get 53.
Include the next digit (7) from the dividend after 53, then repeat: 537 / 57

Moving on to step 3:
57 can be fit into 537 9 times, resulting in a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we take 513 away from 537, we end up with 24.
Take the next digit (6) from the dividend and append it to 24, then repeat: 246 / 57

Advancing to step 4:
57 can be fit into 246 4 times, resulting in a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 94.0
Deduct 228 from 246 and we're left with 18.
Grab the next digit (3) from the dividend, add it to 18, then carry on: 183 / 57

Step 5:
183 divided by 57 is 3 with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 943.0
Deduct 171 from 183 and we're left with 12.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 57

Advancing to step 6:
The number 57 fits into 124 2 times, leaving a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 9432.0
Subtract 114 from 124 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
57 goes into 100 1 times with a remainder of 43.
Record the quotient 1 as the next digit in the result. 
Result so far: 9432.1
Subtract 57 from 100 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 8:
If we divide 430 by 57, we get 7 and a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 9432.17
The remainder is 31 after subtracting 399 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 9:
The number 57 fits into 310 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 9432.175
If we subtract 285 from 310, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
The number 57 fits into 250 4 times, leaving a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 9432.1754
If we take 228 away from 250, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
If we divide 220 by 57, we get 3 and a remainder of 49.
The number 3 becomes the next digit in our result. 
Result so far: 9432.17543
If we take 171 away from 220, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 12:
490 divided by 57 is 8 with a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 9432.175438
Subtract 456 from 490 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 13:
The number 57 fits into 340 5 times, leaving a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 9432.1754385
If we subtract 285 from 340, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 14:
If we divide 550 by 57, we get 9 and a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 9432.17543859
Deduct 513 from 550 and we're left 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.

The final outcome is 9432.17543859, with a leftover of 3.7e-08.