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To divide nine thousand two hundred fifty seven [ 9257 ]
by four [ 9257 ÷ 4 ]
First set up the problem using a division symbol
with 4 on the outside and 9257 on the inside.
So 9257 divided by 4
can be re-written as 4 divided into 9257.
Now let's start our division.
Since 4 doesn't divide evenly into 9,
think of numbers smaller than 9, that 4 divides into evenly.
The closest number to 9 that 4 divides into evenly, is 8.
Since 4 divides into 8 two times, write a 2 above the 9.
Next, multiply the 2 times the 4 outside the division symbol
[ 2 x 4 = 8 ] to get 8, and put 8 under 9.
Then subtract 9 minus 8 to get 1 [ 9 – 8 = 1 ]
Now we bring down the 2, which gives us 12.
How many times does 4 divide into 12?
4 divides into twelve 3 times. [ 12 ÷ 4 = 3 ]
So we write a 3 in our answer.
Next, we multiply the 3 times the 4 outside the division symbol,
[ 3 x 4 = 12] to get 12, and put 12 under 12.
Then subtract 12 minus 12 to get zero. [ 12 – 12 = 0 ]
Now bring down the 5.
How many times does 4 divide into 5?
The closest number to 5 that 4 divides into evenly, is 4.
Since 4 divides into 5 one time, write a 1 in the answer.
Next, multiply a 1 times the 4 outside the division symbol,
[ 1 x 4 = 4 ] to get 4, and put 4 under 5.
Then subtract 5 minus 4 to get 1. [ 5 – 4 = 1 ]
Now bring down the 7.
So we have 17.
Notice that 4 divides into 17 four times,
so we put a 4 in the answer.
Multiply 4 times 4 to get 16. [ 4 x 4 = 16 ]
and put 16 under 17.
Subtracting 17 minus 16, we get 1. [ 17 - 16 = 1 ]
And since there are no other digits to bring down,
we say that we are left with a remainder of 1.
So the quotient of nine thousand two hundred fifty seven
divided by 4 [ 9757 ÷ 4 ]
is two thousand three hundred fourteen [ 9757 ÷ 4 = 2314 ]
with a remainder of 1.