7642 divided by 37 
Our goal is to divide 7642 by 37.

Let's proceed to step 1:
37 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 37

Moving on to step 2:
37 goes into 76 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 74 from 76 and we're left with 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 37

On to step 3:
When dividing 24 by 37, we get 0 with a remainder of 24.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
Deduct 0 from 24 and we're left with 24.
Grab the next digit (2) from the dividend, add it to 24, then carry on: 242 / 37

Let's proceed to step 4:
If we divide 242 by 37, we get 6 and a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 206.0
The remainder is 20 after subtracting 222 from 242.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 5:
200 divided by 37 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 206.5
The remainder is 15 after subtracting 185 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 6:
150 divided by 37 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 206.54
If we take 148 away from 150, 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.

Advancing to step 7:
37 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 206.54
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
200 divided by 37 is 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 206.5405
If we subtract 185 from 200, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
When dividing 150 by 37, we get 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 206.54054
If we take 148 away from 150, 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.

Let's proceed to step 10:
If we divide 20 by 37, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 206.54054
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
When dividing 200 by 37, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 206.5405405
If we subtract 185 from 200, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 12:
150 divided by 37 is 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 206.54054054
If we take 148 away from 150, 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.

The final outcome is 206.54054054, with a leftover of 2e-09.