Compute \(78945\div 13\) using classic long-division steps. The quotient will be \(6072\) with remainder \(9\).
13
78945
Step-by-step
1. Choose the smallest left part of the dividend that the divisor fits into.
Take \(78\) (because \(13\) doesn't go into \(7\), but it does go into \(78\)).
2. Divide:
\(78\div 13 = 6\).
3. Multiply:
\(6\times13=78\).
4. Subtract:
\(78-78=0\). Now bring down the next digit (\(9\)).
5. Repeat the cycle:
Now we have \(9\). Since \(13\) doesn't go into \(9\), the next quotient digit is \(0\):
Quotient so far: \(60\underline{ }\) (we write a 0 above the 9). Multiply \(0\times13=0\). Subtract: \(9-0=9\). Bring down the next digit (\(4\)) to form \(94\).
6. Continue:
\(94\div13=7\) because \(7\times13=91\). Subtract: \(94-91=3\). Bring down \(5\) to form \(35\).
7. Last digit:
\(35\div13=2\) (\(2\times13=26\)). Subtract: \(35-26=9\). No more digits to bring down, so \(9\) is the remainder.
Result:
Quotient = \(6072\), Remainder = \(9\). So \(78945\div13=6072\ \text{R }9\).
Optional: convert remainder to decimal
To continue into decimals, append a decimal point and a zero: bring down \(0\) to get \(90\). Then \(90\div13=6\) (since \(6\times13=78\)), remainder \(12\) — and so on.