"The proof? Very well, give me a pencil. Listen. . . . Suppose we want to divide seven eighths by two fifths. Well, the point of it is, my boy, that it's required to divide these fractions by each other. . . . Have they set the samovar?" "I don't know." "It's time for tea. . . . It's past seven. Well, now listen. We will look at it like this. . . . Suppose we want to divide seven eighths not by two fifths but by two, that is, by the numerator only. We divide it, what do we get? "Seven sixteenths." "Right. Bravo! Well, the trick of it is, my boy, that if we . . . so if we have divided it by two then. . . . Wait a bit, I am getting muddled. I remember when I was at school, the teacher of arithmetic was called Sigismund Urbanitch, a Pole. He used to get into a muddle over every lesson. He would begin explaining some theory, get in a tangle, and turn crimson all over and race up and down the class-room as though someone were sticking an awl in his back, then he would blow his nose half a dozen times and begin to cry. But you know we were magnanimous to him, we pretended not to see it. 'What is it, Sigismund Urbanitch?' we used to ask him. 'Have you got toothache?' And what a set of young ruffians, regular cut-throats, we were, but yet we were magnanimous, you know! There weren't any boys like you in my day, they were all great hulking fellows, great strapping louts, one taller than another. For instance, in our third class, there was Mamahin. My goodness, he was a solid chap! You know, a regular maypole, seven feet high. When he moved, the floor shook; when he brought his great fist down on your back, he would knock the breath out of your body! Not only we boys, but even the teachers were afraid of him. So this Mamahin used to . . ." Pelageya Ivanovna's footsteps are heard through the door. Pavel Vassilitch winks towards the door and says: "There's mother coming. Let's get to work. Well, so you see, my boy," he says, raising his voice. "This fraction has to be multiplied by that one. Well, and to do that you have to take the numerator of the first fraction. . ." "Come to tea!" cries Pelageya Ivanovna. Pavel Vassilitch and his son abandon arithmetic and go in to tea. Pelageya Ivanovna is already sitting at the table with an aunt who never speaks, another aunt who is deaf and dumb, and Granny Markovna, a midwife who had helped Styopa into the world. The samovar is hissing and puffing out steam which throws flickering shadows on the ceiling. The cats come in from the entry sleepy and melancholy with their tails in the air. . . . "Have some jam with your tea, Markovna," says Pelageya Ivanovna, addressing the midwife. "To-morrow the great fast begins. Eat well to-day." Markovna takes a heaped spoonful of jam hesitatingly as though it were a powder, raises it to her lips, and with a sidelong look at Pavel Vassilitch, eats it; at once her face is overspread with a sweet smile, as sweet as the jam itself.