The 536 prefix means that it is Muarray ao the Nome derivative therof, It is a snowthrower; I know this since I have see the manual. As with all things Sears in nature, one shouls always try ManageMyLife.com first. Found it there and the link is below.
The manual can be found at the link below(it is quite a bit below under Links) and found at SearsPartsDirect. The page the link takes you to will have a Download link in about the middle of the page that will take you to it.
I do not know where you got that numbe since Sears does a three digit vendor number and a six digit model num and you obviously have eight. But that said when I removed the two trailing "0's" I got a manual at SearsPartsDirect that is linked somewhat below. Click on the "Download" to get it.
http://lawnandgarden.manualsonline.com/mdownloads/0c1872c9-f71b-41ab-8e21-6344e6353fba.pdf
At the Sears site called Manage My Home (Manage My Life) and see the link.
Well, Sears has your manual at the link somewhat below. Just click on the word "Download" to get it.
I have one
sears.com
I found some of them at download.snowblowerguide.com It is paid service but no one has it but them.
Did you ever find or receive an answer on getting a manual- I can probably scan the manual if you still need it
craftsman
Try the following website - it has many manuals that can be downloaded free: managemylife.com
You can get the same diagrams and parts list that are in the original owners manual on the sears, partsdirect web site by typing in the model number. However many of the parts are listed as no longer available.
5w-30
A manual for the Craftsman lawnmower model 944.607853 can be ordered from the Craftsman company. Another option is to contact the store where the lawnmower was purchased and have them order a manual.
.030 Champion RJ19LM
John Deere 38 Snow Thrower snow blower is the model tractor that will fit the craftsman 40 model 842.240510. The model will fit perfectly and will not need any fabrication.
This site carries every craftsman manual ever printed: see the related link.
service manual for craftsman eagle 1 lawn mower model 944 363511?