Deal out crates place-by-place, cash in leftovers, and read every remainder in context.
REMEMBER: Division is fair sharing or equal grouping. Deal
the biggest crates first: hundreds, then tens, then ones. A leftover in one place is traded down
into the next place — 1 hundred = 10 tens, 1 ten = 10 ones. Check by multiplying back:
quotient × divisor + remainder = dividend. And the remainder means different
things in different stories: round up (need one more van), drop it (only whole boxes count),
or report it (leftover pieces).
Part 1 · Load the Trucks
Load a dividend into the depot and pick how many trucks to share it among. Deal one place at a time —
hundreds first, then tens, then ones — watching leftovers trade down.
Dividend up to 9,999. Divisor 1 to 9. Trades happen automatically as needed.
Places dealt
0 of ?
Per truck so far
0
Remaining cargo
?
Quotient · Remainder
?
The Remainder Desk
The same division question can mean different things. Pick the meaning that matches the story — wrong
picks play out absurdly.
Part 2 · Depot Challenges
Predict before you compute. Lock in an answer, then see the reveal — including the multiplication check.
Part 3 · The Machines
Three step-by-step machines. Each step says what to do and why.
Divide place-by-place with a multiplication check
Divide with partial quotients (big chunks first)
Choose the right meaning of the remainder
Part 4 · Depot Manager Quiz
Ten questions. Each wrong answer tells you which part to revisit.
Question 1 of 10Score: 0
Word Box
Dividend · Divisor · Quotient · Remainder
In 58 ÷ 6 = 9 R 4: 58 is the dividend, 6 is the divisor, 9 is the quotient, 4 is the remainder.
Fair share · Equal grouping
Two stories division tells: split N things into g equal shares (fair share), or count how many groups of size g fit in N (equal grouping). Same operation, different picture.
Place-by-place division
Deal biggest crates first: hundreds, then tens, then ones. Leftovers cascade down.
Trade down
A leftover in one place breaks into 10 of the next place: 1 leftover hundred = 10 tens.
Partial quotient
A friendly multiple of the divisor pulled out of the dividend in one step: from 435 ÷ 5, taking 80 × 5 = 400 first.
Multiplication check
Quotient × divisor + remainder should equal the dividend. If not, redo.
Round up remainder
“Need one for everyone” stories: buses, vans, jeeps — add one more even for a small leftover.
Drop remainder
“How many whole ___” stories: full boxes, full teams — the leftover doesn’t make one more.