Solution - Long subtraction
Step-by-step explanation
1. Rewrite the numbers from top to bottom, aligned by their place values
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 8 | 5 | 2 | . | 1 | 5 | ||||
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| . |
Put zeros in the blank number places:
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 8 | 5 | 2 | . | 1 | 5 | 0 | 0 | 0 | |
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| . |
2. Subtract the numbers using long subtraction method
Because the upper digit (0) in the hundred thousandths column is too small to get a positive difference, borrow 1 from the number to the left (500) which becomes (499) and get (10).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 4 | 9 | 9 | 10 | ||||||
| 8 | 5 | 2 | . | 1 | 5 | 0 | 0 | 0 | |
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| . |
Subtract the numbers in the hundred thousandths column from the top number:
10-0-3=7
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 4 | 9 | 9 | 10 | ||||||
| 8 | 5 | 2 | . | 1 | 5 | 0 | 0 | 0 | |
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| . | 7 |
Subtract the numbers in the ten thousandths column from the top number:
9-0=9
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 4 | 9 | 9 | 10 | ||||||
| 8 | 5 | 2 | . | 1 | 5 | 0 | 0 | 0 | |
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| . | 9 | 7 |
Subtract the numbers in the thousandths column from the top number:
9-1=8
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 4 | 9 | 9 | 10 | ||||||
| 8 | 5 | 2 | . | 1 | 5 | 0 | 0 | 0 | |
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| . | 8 | 9 | 7 |
Subtract the numbers in the hundredths column from the top number:
4-0=4
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 4 | 9 | 9 | 10 | ||||||
| 8 | 5 | 2 | . | 1 | 5 | 0 | 0 | 0 | |
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| . | 4 | 8 | 9 | 7 |
Because the upper digit (1) in the tenths column is too small to get a positive difference, borrow 1 from the digit (2) in the next number place which becomes (1) and get (11).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 1 | 11 | ||||||||
| 4 | 9 | 9 | 10 | ||||||
| 8 | 5 | 2 | . | 1 | 5 | 0 | 0 | 0 | |
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| . | 4 | 8 | 9 | 7 |
Subtract the numbers in the tenths column from the top number:
11-5=6
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 1 | 11 | ||||||||
| 4 | 9 | 9 | 10 | ||||||
| 8 | 5 | 2 | . | 1 | 5 | 0 | 0 | 0 | |
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| . | 6 | 4 | 8 | 9 | 7 |
Because the upper digit (1) in the ones column is too small to get a positive difference, borrow 1 from the digit (5) in the next number place which becomes (4) and get (11).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 4 | 11 | ||||||||
| 1 | 11 | ||||||||
| 4 | 9 | 9 | 10 | ||||||
| 8 | 5 | 2 | . | 1 | 5 | 0 | 0 | 0 | |
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| . | 6 | 4 | 8 | 9 | 7 |
Subtract the numbers in the ones column from the top number:
11-8=3
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 4 | 11 | ||||||||
| 1 | 11 | ||||||||
| 4 | 9 | 9 | 10 | ||||||
| 8 | 5 | 2 | . | 1 | 5 | 0 | 0 | 0 | |
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| 3 | . | 6 | 4 | 8 | 9 | 7 |
Because the upper digit (4) in the tens column is too small to get a positive difference, borrow 1 from the digit (8) in the next number place which becomes (7) and get (14).
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 7 | 14 | ||||||||
| 4 | 11 | ||||||||
| 1 | 11 | ||||||||
| 4 | 9 | 9 | 10 | ||||||
| 8 | 5 | 2 | . | 1 | 5 | 0 | 0 | 0 | |
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| 3 | . | 6 | 4 | 8 | 9 | 7 |
Subtract the numbers in the tens column from the top number:
14-7=7
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 7 | 14 | ||||||||
| 4 | 11 | ||||||||
| 1 | 11 | ||||||||
| 4 | 9 | 9 | 10 | ||||||
| 8 | 5 | 2 | . | 1 | 5 | 0 | 0 | 0 | |
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| 7 | 3 | . | 6 | 4 | 8 | 9 | 7 |
Write 7 in the hundreds place.
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths |
| 7 | 14 | ||||||||
| 4 | 11 | ||||||||
| 1 | 11 | ||||||||
| 4 | 9 | 9 | 10 | ||||||
| 8 | 5 | 2 | . | 1 | 5 | 0 | 0 | 0 | |
| - | 7 | 8 | . | 5 | 0 | 1 | 0 | 3 | |
| 7 | 7 | 3 | . | 6 | 4 | 8 | 9 | 7 |
The solution is: 773.64897
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