I have tried to retell the story. Check me, please.
I was a clever and poor boy and i don't have enough money to pay for my education.
During my holidays I found two jobs at the same time-in the butcher's shop during the daytime and another in the hospital at night.
I cut meat quite nicely so the butcher went to do the accounts into a room behind the shop.
In the hospital i could do only the simplest jobs. I was helping to lift people from one part of the hospital to another.
I wore only white clothes on both jobs.
One evening I started to help a woman from her bed to place where she was to have an operation. She was very frightened and when she saw me she started to cry and fainted away. I think, she thought that I was a butcher.

Question

I have tried to retell the story. Check me, please.
I was a clever and poor boy and i don't have enough money to pay for my education.
During my holidays I found two jobs at the same time-in the butcher's shop during the daytime and another in the hospital at night. 
I cut meat quite nicely so the butcher went to do the accounts into a room behind the shop. 
In the hospital i could do only the simplest jobs. I was helping to lift people from one part of the hospital to another.
I wore only white clothes on both jobs.
One evening I started to help a woman from her bed to place where she was to have an operation. She was very frightened and when she saw me she started to cry and fainted away. I think, she thought that I was a butcher.

Answer

... and just one more thing:

'I was helping to lift people from one part of the hospital to another.'

'Lift' is not the right word here. 'Lift' is a single upward movement, such as when you lift someone off their bed or into a chair. You can't 'lift' someone from one part of a hospital to another. You could say 'take' or 'transport', for example.

Answer

I agree with Laura.

The part of the sentence ' the butcher went to do the accounts into a room behind the shop. ' is wrong. The problem is the word 'into', which indicates movement.

There are two ways of correcting this. You can say either:

' the butcher went to do the accounts [in a room behind the shop.] '
or
' the butcher went into a room behind the shop [to do the accounts] '

In the first version, the main part of the sentence says what the butcher went to do, and the second part says where he did this.

In the second version, the main part of the sentence says where the butcher went, and the second part says why he went there.

Either of these sentences would be fine.

The other thing is that the seventh sentence should read 'One evening I started to help a woman from her bed to the place where she was to have an operation.'

Answer

Candice has answered this but I wanted to point out:
'do the accounts into a room behind the shop' would sound better as 'went to do the accounts in a room behind the shop.'

Answer

I was a clever but poor boy and I didn't have enough money to pay for my education.
During my holidays I found two jobs at the same time , in the butcher's shop during the daytime and another in the hospital at night. 
I cut meat quite nicely so the butcher went to do the accounts into a room behind the shop. 
In the hospital I could do only the simplest jobs. I was helping to lift people from one part of the hospital to another.
I wore only white clothes on both jobs.
One evening I started to help a woman from her bed to her place where she was to have an operation. She was very frightened and when she saw me she started to cry and fainted . I think, she thought that I was a butcher.