C, 961961 952 bytes
#define P(s)puts(s),+
char*s="The other day,I met a bear,A great big bear,Oh way out there.He looked at me,I looked at him,He sized up me,I sized up him.He said to me,_Why don't you run?I see you ain't,Got any gun._I says to him,_That's a good idea.__Now legs get going,get me out of here!_And so I ran,Away from there,But right behind me,Was that bear.In front of me,There was a tree,A great big tree,Oh glory be!The lowest branch,Was ten feet up,So I thought I'd jump,And trust my luck.And so I jumped,Into the air,But I missed that branch,A way up there.Now don't you fret,And don't you frown,I Caught that branch,On the way back down!This is the end,There aint no more,Unless I see,That bear once more.";char a[99],b[99],c[99],d[99];i,j,k,l;f(){char*t[4]={a,b,c,d};for(i=j=k=0;l=s[i];++ii=j=k=0;l=s[i++];){t[j][k++]=l-95?l:34;if(l<65&&l-32&&l-39){if(s[i+1]==95&&ls[i]==95&&l-44)t[j][k++]=34,++i;t[j][k]=0;++j;k=0;if++i;k=t[j++][k]=0;(j==4j%=4)P||P(a)P(a)P(b)P(b)P(c)P(c)P(d)P(d)P("")P(a)P(b)P(c)P(d)P("")j=0;0;}}}
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