43598 ÷ 91 
We're looking to find how many times 91 goes into 43598.

Advancing to step 1:
The number 91 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 91

On to step 2:
91 goes into 43 0 times with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Take the next digit (5) from the dividend and append it to 43, then repeat: 435 / 91

Let's proceed to step 3:
91 can be fit into 435 4 times, resulting in a remainder of 71.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 364 from 435 leaves us with 71.
Fetch the next digit (9) from the dividend, attach it to 71 and continue: 719 / 91

Moving on to step 4:
91 goes into 719 7 times with a remainder of 82.
Write down 7 as next digit of the result. 
Result so far: 47.0
If we take 637 away from 719, we end up with 82.
Append the next digit (8) from the dividend to 82 and continue with: 828 / 91

Step 5:
91 goes into 828 9 times with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 479.0
The remainder is 9 after subtracting 819 from 828.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 6:
When dividing 90 by 91, we get 0 with a remainder of 90.
Use 0 as the next digit of our solution. 
Result so far: 479.0
Subtracting 0 from 90 leaves us with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Advancing to step 7:
91 can be fit into 900 9 times, resulting in a remainder of 81.
Record the quotient 9 as the next digit in the result. 
Result so far: 479.09
Subtracting 819 from 900 leaves us with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 8:
91 goes into 810 8 times with a remainder of 82.
Use 8 as the next digit of our solution. 
Result so far: 479.098
Subtract 728 from 810 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Step 9:
If we divide 820 by 91, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 479.0989
Subtracting 819 from 820 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 10:
91 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 479.0989
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
If we divide 100 by 91, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 479.098901
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 12:
91 goes into 90 0 times with a remainder of 90.
Use 0 as the next digit of our solution. 
Result so far: 479.098901
Subtracting 0 from 90 leaves us with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Let's proceed to step 13:
91 can be fit into 900 9 times, resulting in a remainder of 81.
Use 9 as the next digit of our solution. 
Result so far: 479.09890109
If we take 819 away from 900, we end up with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

The final outcome is 479.09890109, with a leftover of 8.1e-08.