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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 873 · 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. 1.736148 ÷ 989 =
  2. 2.19012 ÷ 98 =
  3. 3.42959 ÷ 988 =
  4. 4.169465 ÷ 998 =
  5. 5.25116 ÷ 97 =
  6. 6.2598 ÷ 8 =
  7. 7.869911 ÷ 897 =
  8. 8.611707 ÷ 997 =
  9. 9.987695 ÷ 998 =
  10. 10.7657 ÷ 96 =
  11. 11.7339 ÷ 98 =
  12. 12.47239 ÷ 89 =
  13. 13.77445 ÷ 88 =
  14. 14.20957 ÷ 89 =
  15. 15.22549 ÷ 98 =
  16. 16.9300 ÷ 8 =
  17. 17.88465 ÷ 98 =
  18. 18.60864 ÷ 96 =
  19. 19.30538 ÷ 97 =
  20. 20.931159 ÷ 897 =
  21. 21.56186 ÷ 997 =
  22. 22.40245 ÷ 98 =
  23. 23.873 ÷ 8 =
  24. 24.31038 ÷ 988 =
  25. 25.525490 ÷ 897 =
  26. 26.74781 ÷ 97 =
  27. 27.29435 ÷ 97 =
  28. 28.79230 ÷ 89 =
  29. 29.14928 ÷ 89 =
  30. 30.510894 ÷ 989 =
  31. 31.85549 ÷ 897 =
  32. 32.85933 ÷ 97 =
  33. 33.846830 ÷ 997 =
  34. 34.317042 ÷ 897 =
  35. 35.5394 ÷ 8 =
  36. 36.59480 ÷ 998 =
  37. 37.93829 ÷ 98 =
  38. 38.72532 ÷ 88 =
  39. 39.792469 ÷ 988 =
  40. 40.56090 ÷ 88 =

Answer key

  1. 744 rem 332
  2. 194 rem 0
  3. 43 rem 475
  4. 169 rem 803
  5. 258 rem 90
  6. 324 rem 6
  7. 969 rem 718
  8. 613 rem 546
  9. 989 rem 673
  10. 79 rem 73
  11. 74 rem 87
  12. 530 rem 69
  13. 880 rem 5
  14. 235 rem 42
  15. 230 rem 9
  16. 1162 rem 4
  17. 902 rem 69
  18. 634 rem 0
  19. 314 rem 80
  20. 1038 rem 73
  21. 56 rem 354
  22. 410 rem 65
  23. 109 rem 1
  24. 31 rem 410
  25. 585 rem 745
  26. 770 rem 91
  27. 303 rem 44
  28. 890 rem 20
  29. 167 rem 65
  30. 516 rem 570
  31. 95 rem 334
  32. 885 rem 88
  33. 849 rem 377
  34. 353 rem 401
  35. 674 rem 2
  36. 59 rem 598
  37. 957 rem 43
  38. 824 rem 20
  39. 802 rem 93
  40. 637 rem 34

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