37919 ÷ 8 = 4739 R7
Alright, let's work through the division of 37919 by 8 step by step.

Step 1:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 8

Step 2:
8 goes into 37 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 32 from 37 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 8

Step 3:
8 goes into 59 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 47
Subtract 56 from 59 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 8

Step 4:
8 goes into 31 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 473
Subtract 24 from 31 to get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 8

Step 5:
8 goes into 79 9 times with a remainder of 7.
Write down 9 as next digit of of the result. 
Result so far: 4739
Subtract 72 from 79 to get 7.

The final result is 4739 with a remainder of 7.