We look at the division of 743081 by 598 
We want to figure out the number of times 743081 can be divided by 598.

Moving on to step 1:
598 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 598

Step 2:
When dividing 74 by 598, we get 0 with a remainder of 74.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 74 after subtracting 0 from 74.
Take the next digit (3) from the dividend and append it to 74, then repeat: 743 / 598

Moving on to step 3:
When dividing 743 by 598, we get 1 with a remainder of 145.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 598 from 743 and we're left with 145.
Take the next digit (0) from the dividend and append it to 145, then repeat: 1450 / 598

On to step 4:
1450 divided by 598 is 2 with a remainder of 254.
Write down 2 as next digit of the result. 
Result so far: 12.0
Deduct 1196 from 1450 and we're left with 254.
Grab the next digit (8) from the dividend, add it to 254, then carry on: 2548 / 598

On to step 5:
2548 divided by 598 is 4 with a remainder of 156.
The next digit of our result is 4. 
Result so far: 124.0
Deduct 2392 from 2548 and we're left with 156.
Append the next digit (1) from the dividend to 156 and continue with: 1561 / 598

Moving on to step 6:
1561 divided by 598 is 2 with a remainder of 365.
Record the quotient 2 as the next digit in the result. 
Result so far: 1242.0
Deduct 1196 from 1561 and we're left with 365.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3650, and continue the process.

Going ahead to step 7:
If we divide 3650 by 598, we get 6 and a remainder of 62.
The next digit of our result is 6. 
Result so far: 1242.6
The remainder is 62 after subtracting 3588 from 3650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 8:
If we divide 620 by 598, we get 1 and a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1242.61
Deduct 598 from 620 and we're left 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.

Moving on to step 9:
220 divided by 598 is 0 with a remainder of 220.
Record the quotient 0 as the next digit in the result. 
Result so far: 1242.61
Deduct 0 from 220 and we're left with 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Going ahead to step 10:
When dividing 2200 by 598, we get 3 with a remainder of 406.
The next digit of our result is 3. 
Result so far: 1242.6103
Deduct 1794 from 2200 and we're left with 406.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

Advancing to step 11:
When dividing 4060 by 598, we get 6 with a remainder of 472.
Record the quotient 6 as the next digit in the result. 
Result so far: 1242.61036
The remainder is 472 after subtracting 3588 from 4060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4720, and continue the process.

Step 12:
When dividing 4720 by 598, we get 7 with a remainder of 534.
Use 7 as the next digit of our solution. 
Result so far: 1242.610367
Subtract 4186 from 4720 to get 534.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5340, and continue the process.

On to step 13:
The number 598 fits into 5340 8 times, leaving a remainder of 556.
Record the quotient 8 as the next digit in the result. 
Result so far: 1242.6103678
If we take 4784 away from 5340, we end up with 556.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5560, and continue the process.

Let's proceed to step 14:
The number 598 fits into 5560 9 times, leaving a remainder of 178.
Use 9 as the next digit of our solution. 
Result so far: 1242.61036789
If we subtract 5382 from 5560, we get 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

In conclusion, the division gives 1242.61036789 with a balance of 1.78e-07.