We're dividing 61553442 by 338 
We're looking to find how many times 338 goes into 61553442.

Step 1:
338 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 338

On to step 2:
338 can be fit into 61 0 times, resulting in a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 61 and we're left with 61.
Bring next digit (5) of the dividend behind the 61 and repeat the process: 615 / 338

Let's proceed to step 3:
When dividing 615 by 338, we get 1 with a remainder of 277.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 338 from 615 to get 277.
Take the next digit (5) from the dividend and append it to 277, then repeat: 2775 / 338

On to step 4:
2775 divided by 338 is 8 with a remainder of 71.
The next digit of our result is 8. 
Result so far: 18.0
Deduct 2704 from 2775 and we're left with 71.
Grab the next digit (3) from the dividend, add it to 71, then carry on: 713 / 338

Advancing to step 5:
When dividing 713 by 338, we get 2 with a remainder of 37.
The number 2 becomes the next digit in our result. 
Result so far: 182.0
If we take 676 away from 713, we end up with 37.
Take the next digit (4) from the dividend and append it to 37, then repeat: 374 / 338

Going ahead to step 6:
338 can be fit into 374 1 times, resulting in a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 1821.0
If we subtract 338 from 374, we get 36.
Include the next digit (4) from the dividend after 36, then repeat: 364 / 338

On to step 7:
If we divide 364 by 338, we get 1 and a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 18211.0
Subtracting 338 from 364 leaves us with 26.
Grab the next digit (2) from the dividend, add it to 26, then carry on: 262 / 338

Step 8:
338 goes into 262 0 times with a remainder of 262.
Write down 0 as next digit of the result. 
Result so far: 182110.0
If we subtract 0 from 262, we get 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

Step 9:
When dividing 2620 by 338, we get 7 with a remainder of 254.
Put 7 as the next digit of the answer. 
Result so far: 182110.7
Subtract 2366 from 2620 to get 254.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2540, and continue the process.

On to step 10:
If we divide 2540 by 338, we get 7 and a remainder of 174.
Write down 7 as next digit of the result. 
Result so far: 182110.77
If we take 2366 away from 2540, we end up with 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

The final result is 182110.77 with a remainder of 0.174.