DIVISION. 7800 ÷ 166.

+---------------+---------------+

| Thousands | |

+----+----+-----+-----+----+----+

| H. | T. | U. | H. | T. | U. |

+----+----+-----+-----+----+----+

| | | | | 3 | 4 | Differences (making 200 trial

| | | | | | | divisor).

| | | | 1 | 6 | 6 | Divisors.

+----+----+-----+-----+----+----+

| | |[4*]7| 8 | | | +Dividends.+

| | | 1 | | | | Remainder of greatest dividend.

| | | | 1 | 2 | | Product of 1st difference (4)

| | | | | | | by 1st Quotient (3).

| | | | 9 | | | Product of 2nd difference (3)

| | | | | | | by 1st Quotient (3).

+----+----+-----+-----+----+----+

| | |[4*]2| 8 | 2 | | New dividends.

| | | | 3 | 4 | | Product of 1st and 2nd difference

| | | | | | | by 2nd Quotient (1).

+----+----+-----+-----+----+----+

| | |[4*]1| 1 | 6 | | New dividends.

| | | | | 2 | | Product of 1st difference by

| | | | | | | 3rd Quotient (5).

| | | | 1 | 5 | | Product of 2nd difference by

| | | | | | | 3rd Quotient (5).

+----+----+-----+-----+----+----+

| | | |[4*]3| 3 | | New dividends.

| | | | 1 | | | Remainder of greatest dividend.

| | | | | 3 | 4 | Product of 1st and 2nd difference

| | | | | | | by 4th Quotient (1).

+----+----+-----+-----+----+----+

| | | | 1 | 6 | 4 | +Remainder+ (less than divisor).

| | | | | | 1 | 4th Quotient.

| | | | | | 5 | 3rd Quotient.

| | | | | 1 | | 2nd Quotient.

| | | | | 3 | | 1st Quotient.

+----+----+-----+-----+----+----+

| | | | | 4 | 6 | +Quotient.+

+----+----+-----+-----+----+----+

[Footnote 4*: These figures are removed at the next step.]

The Earliest Arithmetics in English · 第 11 / 26 题