Die 9 Stellen-Methode heisst nur so. Die Einheiten können beliebig gewählt werden, auch innerhalb der Rechnung kann man die Einheit wechseln.
1. Beispiel In zweier Einheiten weiter zerlegen.
\(\begin{array}{lr} 2008\ 00\ 00\ 09\ 70\ 37\ 57\ 00\ 13\ 14\ 00 \\ (1) & 2008 \\ (2) & 00 \\ (3) & 00 \\ (4) & 09 \\ (5) & 70 \\ (6) & 37 \\ (7) & 57 \\ (8) & 00 \\ (9) & 13 \\ (10)& 14 \\ (11)& 00 \\ \end{array}\\ \begin{array}{lr} (1) &2008 ÷ 97 = 20 \text{ Rest } \mathbf{68} \\ (2) &\mathbf{68} 00 ÷ 97 = 70\text{ Rest } \mathbf{10} \\ (3) &\mathbf{10} 00 ÷ 97 = 10 \text{ Rest } \mathbf{30} \\ (4) &\mathbf{30} 09 ÷ 97 = 31 \text{ Rest } \mathbf{2} \\ (5) &\mathbf{02} 70 ÷ 97 = 2 \text{ Rest } \mathbf{76} \\ (6) &\mathbf{76} 37 ÷ 97 = 78 \text{ Rest } \mathbf{71} \\ (7) &\mathbf{71} 57 ÷ 97 = 73 \text{ Rest } \mathbf{76 } \\ (8) &\mathbf{76} 00 ÷ 97 = 78 \text{ Rest } \mathbf{34} \\ (9) &\mathbf{34} 13 ÷ 97 = 35 \text{ Rest } \mathbf{18 } \\ (10)& \mathbf{18} 14 ÷ 97 = 18 \text{ Rest } \mathbf{68} \\ (11)& \mathbf{68} 00 ÷ 97 = 70 \text{ Rest } \mathbf{10} \\ \end{array}\)
II. In Einer Einheiten weiter zerlegen.
\(\begin{array}{lr} 20\ 0\ 8\ 0\ 0\ 0\ 0\ 0\ 9\ 7\ 0\ 3\ 7\ 5\ 7\ 0\ 0\ 1\ 3\ 1\ 4\ 0\ 0\\ ( 1) & 20\\ (2) & 0\\ (3) & 8\\ (4) & 0\\ (5) & 0\\ (6) & 0\\ (7) & 0\\ (8) & 0\\ (9) & 9\\ (10) & 7\\ (11) & 0 \\ (12) & 3\\ (13) & 7\\ (14) & 5\\ (15) & 7\\ (16) & 0\\ (17) & 0\\ (18) & 1\\ (19) & 3\\ (20) & 1\\ (21) & 4 \\ (22) & 0\\ (23) & 0\\ \end{array}\\ \begin{array}{lr} (1) & 20 ÷ 97 = 0 \text{ Rest } \mathbf{20}\\ (2) &\mathbf{20} 0 ÷ 97 = 2 \text{ Rest } \mathbf{6}\\ (3) &\mathbf{ 6} 8 ÷ 97 = 0 \text{ Rest } \mathbf{68}\\ (4) &\mathbf{68} 0 ÷ 97 = 7 \text{ Rest } \mathbf{1}\\ (5) &\mathbf{ 1} 0 ÷ 97 = 0 \text{ Rest } \mathbf{10} \\ (6) &\mathbf{10} 0 ÷ 97 = 1 \text{ Rest } \mathbf{3} \\ (7) &\mathbf{ 3} 0 ÷ 97 = 0 \text{ Rest } \mathbf{30}\\ (8) &\mathbf{30} 0 ÷ 97 = 3 \text{ Rest } \mathbf{9}\\ (9) &\mathbf{ 9} 9 ÷ 97 = 1 \text{ Rest } \mathbf{2}\\ (10) &\mathbf{ 2} 7 ÷ 97 = 0 \text{ Rest } \mathbf{27}\\ (11) &\mathbf{27} 0 ÷ 97 = 2 \text{ Rest } \mathbf{76} \\ (12) &\mathbf{76} 3 ÷ 97 = 7 \text{ Rest } \mathbf{84} \\ (13) &\mathbf{84} 7 ÷ 97 = 8 \text{ Rest } \mathbf{71} \\ (14) &\mathbf{71} 5 ÷ 97 = 7 \text{ Rest } \mathbf{36} \\ (15) &\mathbf{36} 7 ÷ 97 = 3 \text{ Rest } \mathbf{76} \\ (16) &\mathbf{76} 0 ÷ 97 = 7 \text{ Rest } \mathbf{81} \\ (17) &\mathbf{81} 0 ÷ 97 = 8 \text{ Rest } \mathbf{34} \\ (18) &\mathbf{34} 1 ÷ 97 = 3 \text{ Rest } \mathbf{50} \\ (19) &\mathbf{50} 3 ÷ 97 = 5 \text{ Rest } \mathbf{18} \\ (20) &\mathbf{18} 1 ÷ 97 = 1 \text{ Rest } \mathbf{84}\\ (21) &\mathbf{84} 4 ÷ 97 = 8 \text{ Rest } \mathbf{68}\\ (22) &\mathbf{68} 0 ÷ 97 = 7 \text{ Rest } \mathbf{1}\\ (23) &\mathbf{1} 0 ÷ 97 = \text{ Rest } \mathbf{10}\\ \end{array}\)
Wie gesagt, man kann auch beliebige Einheiten kombinieren, es funktioniert immer.
III. In verschiedene Einheiten weiter zerlegen.
\(\begin{array}{lr} 20080000\ 0\ 9\ 7\ 0\ 3\ 7\ 5\ 7\ 0\ 0\ 131400 \\ (1) & 20080000 \\ (2) & 0\\ (3) & 9 \\ (4) & 7\\ (5) & 0 \\ (6) & 3\\ (7) & 7 \\ (8) & 5\\ (9) & 7 \\ (10) & 0\\ (11) & 0 \\ (12) & 131400 \\ \\ \end{array}\\ \begin{array}{lr} (1) &20080000 ÷ 97 = 207010 \text{ Rest } \mathbf{30} \\ (2) &\mathbf{30} 0 ÷ 97 = 3 \text{ Rest } \mathbf{9}\\ (3) &\mathbf{ 9} 9 ÷ 97 = 1 \text{ Rest } \mathbf{2}\\ (4) &\mathbf{ 2} 7 ÷ 97 = 0 \text{ Rest } \mathbf{27}\\ (5) &\mathbf{27} 0 ÷ 97 = 2 \text{ Rest } \mathbf{76} \\ (6) &\mathbf{76} 3 ÷ 97 = 7 \text{ Rest } \mathbf{84} \\ (7) &\mathbf{84} 7 ÷ 97 = 8 \text{ Rest } \mathbf{71} \\ (8) &\mathbf{71} 5 ÷ 97 = 7 \text{ Rest } \mathbf{36} \\ (9) &\mathbf{36} 7 ÷ 97 = 3 \text{ Rest } \mathbf{76} \\ (10) &\mathbf{76} 0 ÷ 97 = 7 \text{ Rest } \mathbf{81} \\ (11) &\mathbf{81} 0 ÷ 97 = 8 \text{ Rest } \mathbf{34} \\ (12) &\mathbf{34} 131400 ÷ 97 = 351870 \text{ Rest } \mathbf{10} \\ \end{array}\)
