How do you do column-addition method? - Answers

The column division method appears to be the traditional method, but implemented in a rather verbose manner, and presented in a way that constitutes a viable student algorithm only when the divisor is a single-digit number. The Everyday Mathematics 5th and 6th grade student reference books present it via a visualization as money sharing. In the example at right we divide 1220 by 7. We have one $1000 note, which can not be shared by 7 people. We change it to 10 $100 notes, giving us 12 $100 notes in all. With 7 people each gets 1 such note, and we mark the 1 above the dividend. This removes 7 $100 notes, leaving us with 5, which we convert into 50 $10 notes, giving us 52 such notes in all. With 7 people each can get 7 such notes, which we mark above the dividend. This removes 49 $10 notes, leaving us with 3, which we convert into 30 $1 notes, giving us indeed 30 $1 notes in all. With 7 people each can get 4 such notes, which we mark above the dividend. This removes 28 such notes, leaving us with 2. That 2 is our remainder, and the integer result of the division is read above the line. 0 | 1 | 7 | 4 -----+---+---+-- 7 ) 1 | 2 | 2 | 0 - 0 ----+--- 1 | -> |12 - 7 ----+--- 5 | -> |52 -49 ----+--- 3 | -> |30 -28 --- 2 ans: 174 R2