We look at the division of 407174 by 59 
We're looking to find how many times 59 goes into 407174.

Moving on to step 1:
The number 59 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 59

Step 2:
When dividing 40 by 59, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 40, we end up with 40.
Fetch the next digit (7) from the dividend, attach it to 40 and continue: 407 / 59

Let's proceed to step 3:
When dividing 407 by 59, we get 6 with a remainder of 53.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 354 from 407 leaves us with 53.
Grab the next digit (1) from the dividend, add it to 53, then carry on: 531 / 59

Let's proceed to step 4:
The number 59 fits into 531 9 times, leaving a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 69.0
If we take 531 away from 531, we end up with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 59

Let's proceed to step 5:
The number 59 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 690.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 59

Going ahead to step 6:
74 divided by 59 is 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 6901.0
Subtracting 59 from 74 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
59 can be fit into 150 2 times, resulting in a remainder of 32.
The next digit of our result is 2. 
Result so far: 6901.2
The remainder is 32 after subtracting 118 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
320 divided by 59 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 6901.25
If we subtract 295 from 320, 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.

Moving on to step 9:
250 divided by 59 is 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 6901.254
The remainder is 14 after subtracting 236 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 10:
140 divided by 59 is 2 with a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 6901.2542
Subtract 118 from 140 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 11:
When dividing 220 by 59, we get 3 with a remainder of 43.
The next digit of our result is 3. 
Result so far: 6901.25423
If we take 177 away from 220, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 12:
The number 59 fits into 430 7 times, leaving a remainder of 17.
The next digit of our result is 7. 
Result so far: 6901.254237
Deduct 413 from 430 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 13:
59 goes into 170 2 times with a remainder of 52.
Use 2 as the next digit of our solution. 
Result so far: 6901.2542372
If we take 118 away from 170, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 14:
If we divide 520 by 59, we get 8 and a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 6901.25423728
If we take 472 away from 520, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The final result is 6901.25423728 with a remainder of 4.8e-08.