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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 101 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.483999 ÷ 997 =
  2. 2.12490 ÷ 998 =
  3. 3.13840 ÷ 88 =
  4. 4.424317 ÷ 998 =
  5. 5.2812 ÷ 88 =
  6. 6.2247 ÷ 8 =
  7. 7.225788 ÷ 897 =
  8. 8.61974 ÷ 988 =
  9. 9.549623 ÷ 988 =
  10. 10.5233 ÷ 98 =
  11. 11.274973 ÷ 997 =
  12. 12.78095 ÷ 88 =
  13. 13.876135 ÷ 998 =
  14. 14.357018 ÷ 988 =
  15. 15.152414 ÷ 998 =
  16. 16.915245 ÷ 988 =
  17. 17.32499 ÷ 98 =
  18. 18.37843 ÷ 89 =
  19. 19.7747 ÷ 97 =
  20. 20.26681 ÷ 88 =
  21. 21.22074 ÷ 88 =
  22. 22.14502 ÷ 88 =
  23. 23.30959 ÷ 88 =
  24. 24.89065 ÷ 997 =
  25. 25.36298 ÷ 89 =
  26. 26.532259 ÷ 989 =
  27. 27.250192 ÷ 897 =
  28. 28.953482 ÷ 897 =
  29. 29.74535 ÷ 89 =
  30. 30.859241 ÷ 897 =
  31. 31.6446 ÷ 8 =
  32. 32.158693 ÷ 997 =
  33. 33.3669 ÷ 88 =
  34. 34.305251 ÷ 897 =
  35. 35.90996 ÷ 97 =
  36. 36.39615 ÷ 98 =
  37. 37.119992 ÷ 997 =
  38. 38.36890 ÷ 89 =
  39. 39.6708 ÷ 96 =
  40. 40.859911 ÷ 997 =

Answer key

  1. 485 rem 454
  2. 12 rem 514
  3. 157 rem 24
  4. 425 rem 167
  5. 31 rem 84
  6. 280 rem 7
  7. 251 rem 641
  8. 62 rem 718
  9. 556 rem 295
  10. 53 rem 39
  11. 275 rem 798
  12. 887 rem 39
  13. 877 rem 889
  14. 361 rem 350
  15. 152 rem 718
  16. 926 rem 357
  17. 331 rem 61
  18. 425 rem 18
  19. 79 rem 84
  20. 303 rem 17
  21. 250 rem 74
  22. 164 rem 70
  23. 351 rem 71
  24. 89 rem 332
  25. 407 rem 75
  26. 538 rem 177
  27. 278 rem 826
  28. 1062 rem 868
  29. 837 rem 42
  30. 957 rem 812
  31. 805 rem 6
  32. 159 rem 170
  33. 41 rem 61
  34. 340 rem 271
  35. 938 rem 10
  36. 404 rem 23
  37. 120 rem 352
  38. 414 rem 44
  39. 69 rem 84
  40. 862 rem 497

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