3474 ÷ 38 
We want to figure out the number of times 3474 can be divided by 38.

Advancing to step 1:
When dividing 3 by 38, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 38

Advancing to step 2:
38 can be fit into 34 0 times, resulting in a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Take the next digit (7) from the dividend and append it to 34, then repeat: 347 / 38

Going ahead to step 3:
When dividing 347 by 38, we get 9 with a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtracting 342 from 347 leaves us with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 38

Let's proceed to step 4:
When dividing 54 by 38, we get 1 with a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 91.0
If we take 38 away from 54, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 5:
160 divided by 38 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 91.4
Deduct 152 from 160 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 6:
When dividing 80 by 38, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 91.42
Subtract 76 from 80 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
If we divide 40 by 38, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 91.421
If we take 38 away from 40, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
20 divided by 38 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 91.421
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
When dividing 200 by 38, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 91.42105
If we subtract 190 from 200, we 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.

Advancing to step 10:
When dividing 100 by 38, we get 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 91.421052
If we take 76 away from 100, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
If we divide 240 by 38, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 91.4210526
Subtracting 228 from 240 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 12:
120 divided by 38 is 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 91.42105263
If we take 114 away from 120, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 91.42105263 with a remainder of 6e-09.