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Step 3 Subtract the divisor from the part of the dividend you just divided. Then, bring down
the next digit from the dividend to continue dividing.

Step 4 Keep dividing, subtracting and bringing down the next digit until all digits in the
dividend are processed.
The sequence of 1s and 0s written during the division is the quotient. The leftover value after the

final subtraction is the remainder.
A B A ÷ B

0 0 Not defined
0 1 0
1 0 Not defined
1 1 1

Example 1: Divide 101101 by 11 Example 2: Divide 11000011 by 101
1 1 1 1 Quotient 1 0 0 1 1 1
1 1 1 0 1 1 0 1 Divident 1 0 1 1 1 0 0 0 0 1 1
– 1 1 –1 0 1
1 0 1 1 0 0 0
– 1 1 – 1 0 1
1 00 1 1 1
– 1 1 1 0 1
1 1 1 0 1
– 1 1 – 1 0 1
0 Remainder
0
Therefore, 101101 ÷ 11 = 1111 Therefore, 11000011 ÷ 101 = 100111

RAPID RECALL Tick ( ) if you know this.

1. The octal number system is a base-8 system that uses the digits 0–7.

2. A stands for 10 in hexadecimal, representing the number ten.

TECH
T ¢ Place Value: The value of a digit depending on its position in a number, based on powers of
E the base.
R
M Bit: The smallest unit of data in computing, representing a single binary digit, either 0 or 1.
S ¢

Subscript: A smaller font used below the regular line of text to indicate the base of a number
¢
system (e.g., 2 for binary).

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Number System