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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 621 · 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. 1.81712 ÷ 997 =
  2. 2.20772 ÷ 88 =
  3. 3.856743 ÷ 897 =
  4. 4.369160 ÷ 997 =
  5. 5.13411 ÷ 96 =
  6. 6.28754 ÷ 88 =
  7. 7.903952 ÷ 997 =
  8. 8.180505 ÷ 897 =
  9. 9.593059 ÷ 998 =
  10. 10.8964 ÷ 8 =
  11. 11.65068 ÷ 89 =
  12. 12.287745 ÷ 989 =
  13. 13.70453 ÷ 98 =
  14. 14.136695 ÷ 998 =
  15. 15.521910 ÷ 998 =
  16. 16.41939 ÷ 98 =
  17. 17.22745 ÷ 89 =
  18. 18.7638 ÷ 8 =
  19. 19.62468 ÷ 88 =
  20. 20.55608 ÷ 97 =
  21. 21.9065 ÷ 8 =
  22. 22.753458 ÷ 998 =
  23. 23.63171 ÷ 96 =
  24. 24.55241 ÷ 88 =
  25. 25.12626 ÷ 88 =
  26. 26.86676 ÷ 88 =
  27. 27.877850 ÷ 998 =
  28. 28.81508 ÷ 89 =
  29. 29.80815 ÷ 97 =
  30. 30.734416 ÷ 989 =
  31. 31.477687 ÷ 989 =
  32. 32.62218 ÷ 998 =
  33. 33.232783 ÷ 989 =
  34. 34.11537 ÷ 98 =
  35. 35.19438 ÷ 88 =
  36. 36.360555 ÷ 989 =
  37. 37.495228 ÷ 998 =
  38. 38.151834 ÷ 989 =
  39. 39.36430 ÷ 89 =
  40. 40.51848 ÷ 96 =

Answer key

  1. 81 rem 955
  2. 236 rem 4
  3. 955 rem 108
  4. 370 rem 270
  5. 139 rem 67
  6. 326 rem 66
  7. 906 rem 670
  8. 201 rem 208
  9. 594 rem 247
  10. 1120 rem 4
  11. 731 rem 9
  12. 290 rem 935
  13. 718 rem 89
  14. 136 rem 967
  15. 522 rem 954
  16. 427 rem 93
  17. 255 rem 50
  18. 954 rem 6
  19. 709 rem 76
  20. 573 rem 27
  21. 1133 rem 1
  22. 754 rem 966
  23. 658 rem 3
  24. 627 rem 65
  25. 143 rem 42
  26. 984 rem 84
  27. 879 rem 608
  28. 915 rem 73
  29. 833 rem 14
  30. 742 rem 578
  31. 483 rem 0
  32. 62 rem 342
  33. 235 rem 368
  34. 117 rem 71
  35. 220 rem 78
  36. 364 rem 559
  37. 496 rem 220
  38. 153 rem 517
  39. 409 rem 29
  40. 540 rem 8

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