Bahagi Wang

长除法 = bahagi panjang 一万四千七百三十除以六：先看前两位十四，十四除以六得二余二；把七移下来成二十七，除以六得四余三；移下三成三十三，得五余三；移下零成三十，得五。商是两千四百五十五，所以每班付两千四百五十五令吉。 例子：RM8 400 ÷ 4 = RM2 100。 注意：每一步的余数都要比除数小。

long division = bahagi panjang RM14 730 ÷ 6: 14 ÷ 6 = 2 r 2; bring down 7 to make 27, ÷ 6 = 4 r 3; bring down 3 to make 33, ÷ 6 = 5 r 3; bring down 0 to make 30, ÷ 6 = 5. So each class pays RM2 455. Example: RM8 400 ÷ 4 = RM2 100. Watch out: each remainder must be smaller than the divisor.

除以十 = bahagi sepuluh 除以十的时候，每个数字都往右移一位，看起来就像小数点往左移了一格。三万八千五百一十六点四零变成三千八百五十一点六四零，最后的零可以不写，就是三千八百五十一令吉六十四仙。 例子：RM4 520 ÷ 10 = RM452。 注意：金额最多写两位小数，就是仙。

dividing by 10 = bahagi sepuluh When dividing by 10, every digit moves one place to the right, which looks like the point moving one place left: 38516.40 becomes 3851.640, which is RM3 851.64. Example: RM4 520 ÷ 10 = RM452. Watch out: money has at most two decimal places, the sen.

除以整十 = bahagi puluhan 三十等于十乘三，所以除以三十可以分两步：先除以十，四万五千六百变成四千五百六十；再除以三，四千五百六十除以三得一千五百二十令吉。 例子：RM8 400 ÷ 40 = RM840 ÷ 4 = RM210。 注意：两步都要做，不能只除以三。

dividing by tens = bahagi puluhan 30 = 10 × 3, so dividing by 30 can be done in two steps: ÷ 10 turns RM45 600 into RM4 560, then ÷ 3 gives RM1 520. Example: RM8 400 ÷ 40 = RM840 ÷ 4 = RM210. Watch out: do both steps, not just ÷ 3.

直接长除 = bahagi panjang terus 除以整十也可以直接用长除法：四十五除以三十得一余十五；移下六成一百五十六，得五余六；移下零成六十，得二；再移下零，得零。商一千五百二十令吉，和“先除以十再除以三”的方法结果一样。数字简单时还可以心算：三万六千除以二十，先除以二得一万八千，再除以十得一千八百。 例子：RM8 000 ÷ 40 → RM8 000 ÷ 4 = RM2 000，再 ÷ 10 = RM200。 注意：直接长除时，除数是三十，不是三；每一步的余数都要比三十小。

dividing straight by 30 = bahagi panjang terus You can also divide by a multiple of ten directly: 45 ÷ 30 = 1 r 15; bring down 6 to make 156, ÷ 30 = 5 r 6; bring down 0 to make 60, ÷ 30 = 2; the last 0 gives 0. The answer RM1 520 matches the two-step way. With easy numbers use mental calculation: RM36 000 ÷ 20 → ÷ 2 = RM18 000, then ÷ 10 = RM1 800. Example: RM8 000 ÷ 40 → RM8 000 ÷ 4 = RM2 000, then ÷ 10 = RM200. Watch out: in direct long division the divisor is 30, not 3, and every remainder must be less than 30.

商有仙 = hasil bahagi ada sen 两千三百四十一除以四，除到个位还余一令吉。一令吉等于一百仙，所以在被除数后面写点零零，继续除：十个十分之一除以四得二余二，二十个百分之一除以四得五。答案五百八十五令吉二十五仙。 例子：RM9 ÷ 4 = RM2.25。 注意：商的小数点要和被除数的小数点对齐。

the answer has sen = hasil bahagi ada sen RM2 341 ÷ 4 leaves RM1 after the ones. RM1 is 100 sen, so write .00 and keep dividing: 10 tenths ÷ 4 = 2 r 2, 20 hundredths ÷ 4 = 5. The answer is RM585.25. Example: RM9 ÷ 4 = RM2.25. Watch out: line up the decimal point in the answer with the one in the amount.

列除数乘法表 = bina sifir 除以两位数时，最难的是猜每一步的商。先把除数三十六乘一到九的积列成一张表：三十六、七十二、一百零八……三百二十四。每一步只要在表里找出最接近但不超过被除部分的积。例如三百一十五，表里二百八十八最接近又不超过，所以商八，余二十七。 例子：除以 24 时先列 24、48、72、96、120、144、168、192、216。 注意：选的积不能比被除的部分大；选得太小，余数就会比除数大，也要改。

build a times table = bina sifir When dividing by a two-digit number, the hard part is guessing each digit. First list 36 × 1 to 36 × 9: 36, 72, 108 … 324. At each step, find the product in the table that is closest to the part being divided without going over. For 315, the closest is 288, so the digit is 8 with remainder 27. Example: to divide by 24, first list 24, 48, 72, 96, 120, 144, 168, 192, 216. Watch out: the product must not be bigger than the part being divided; if it is too small, the remainder will be bigger than the divisor, so change it.

除以两位数 = bahagi dua digit 先估计：三万二千除以四十大约八百令吉。长除法：三百一十五除以三十六，试八，三十六乘八得二百八十八，余二十七；移下九成二百七十九，得七余二十七；移下零成二百七十，得七余十八；补零继续，一百八十除以三十六得五。答案八百七十七令吉五十仙，和估计接近。 例子：RM7 200 ÷ 24 = RM300。 注意：试商太大或太小都要调整。

dividing by two digits = bahagi dua digit Estimate first: RM32 000 ÷ 40 ≈ RM800. Long division: 315 ÷ 36 = 8 (288), remainder 27; bring down 9 to make 279, ÷ 36 = 7 r 27; bring down 0 to make 270, = 7 r 18; write .0 and 180 ÷ 36 = 5. The answer is RM877.50, close to the estimate. Example: RM7 200 ÷ 24 = RM300. Watch out: adjust your trial digit if it is too big or too small.

长除法 = bahagi panjang 金额除以一位数，从最左边开始：第一位一比八小，就先看前两位。每一步写下商、乘回去、相减，再把下一位移下来，一直做到个位。最后用商乘八检查，要刚好得到原来的金额。 例子：RM4 816 ÷ 8，四十八除以八得六，移下一不够除写零，移下六成十六得二，商 RM602。 注意：商的数字次序要跟着一步一步写，不能对调；除法的商一定比原来的金额小。

long division = bahagi panjang Divide a money amount by a one-digit number from the left. The first digit, 1, is smaller than 8, so start with the first two digits. At each step write the digit, multiply back, subtract and bring down the next digit, until the ones are done. Check by multiplying the answer by 8. Example: RM4 816 ÷ 8: 48 ÷ 8 = 6, bring down 1 (too small, write 0), bring down 6 to make 16, ÷ 8 = 2; this gives RM602. Watch out: write the digits in the order you find them, and a division answer is always smaller than the amount.

商有仙 = ada sen 这题除到个位还有余数，要在被除数后面写点零零继续除，所以商会有仙。如果某一步被除的数比除数小，商要写零占位，再移下一位。商的小数点要和被除数的小数点对齐。 例子：RM15 ÷ 6：十五除以六得二余三，补零成三十，除以六得五，得 RM2.50。 注意：不够除的时候商写零，不能跳过，否则商会少一位。

an answer with sen = ada sen This division still has a remainder after the ones, so write .00 after the amount and keep dividing; the answer will have sen. If at some step the number is smaller than the divisor, write 0 in the answer as a placeholder and bring down the next digit. Line up the decimal points. Example: RM15 ÷ 6: 15 ÷ 6 = 2 r 3, write 0 to make 30, ÷ 6 = 5, so RM2.50. Watch out: when a step is too small, write 0 in the answer; skipping it loses a place.

除法求未知数 = anu dalam bahagi 方框是被分之前的总数，平均分成八份，每份是题目给的金额。所以总数等于每份的金额乘八份。算好后，用方框除以八检查。 例子：RM□ ÷ 5 = RM320，□ = 5 × RM320 = RM1 600，检查 RM1 600 ÷ 5 = RM320。 注意：方框是总数，一定比每一份大；如果用除法去求，会得到比每一份还小的数。

unknown in division = anu dalam bahagi The box is the total before it is shared; shared into 8 equal parts, each part is the given amount. So the total is the amount of one part times 8. Check by dividing the box by 8. Example: RM□ ÷ 5 = RM320, so □ = 5 × RM320 = RM1 600; check RM1 600 ÷ 5 = RM320. Watch out: the box is the total, so it is bigger than one part; dividing instead gives something smaller than one part.