31119 ÷ 7 = 4445 R4
Alright, let's work through the division of 31119 by 7 step by step.

Step 1:
7 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 (1) of the dividend behind the 3 and repeat the process: 31 / 7

Step 2:
7 goes into 31 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 28 from 31 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 7

Step 3:
7 goes into 31 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 44
Subtract 28 from 31 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 7

Step 4:
7 goes into 31 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 444
Subtract 28 from 31 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 7

Step 5:
7 goes into 39 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 4445
Subtract 35 from 39 to get 4.

The final result is 4445 with a remainder of 4.