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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 340 · 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. 1.41411 ÷ 98 =
  2. 2.21039 ÷ 98 =
  3. 3.55972 ÷ 89 =
  4. 4.30611 ÷ 96 =
  5. 5.57573 ÷ 88 =
  6. 6.33332 ÷ 89 =
  7. 7.25341 ÷ 89 =
  8. 8.48586 ÷ 98 =
  9. 9.83113 ÷ 998 =
  10. 10.93494 ÷ 998 =
  11. 11.640309 ÷ 988 =
  12. 12.70182 ÷ 96 =
  13. 13.65121 ÷ 96 =
  14. 14.539 ÷ 8 =
  15. 15.9738 ÷ 8 =
  16. 16.66341 ÷ 98 =
  17. 17.92449 ÷ 96 =
  18. 18.193313 ÷ 988 =
  19. 19.481962 ÷ 897 =
  20. 20.82618 ÷ 96 =
  21. 21.56041 ÷ 98 =
  22. 22.109630 ÷ 989 =
  23. 23.49358 ÷ 88 =
  24. 24.50200 ÷ 98 =
  25. 25.621274 ÷ 988 =
  26. 26.300992 ÷ 997 =
  27. 27.19592 ÷ 97 =
  28. 28.474974 ÷ 997 =
  29. 29.9302 ÷ 8 =
  30. 30.875269 ÷ 897 =
  31. 31.45007 ÷ 89 =
  32. 32.5024 ÷ 8 =
  33. 33.2133 ÷ 89 =
  34. 34.24718 ÷ 89 =
  35. 35.4788 ÷ 8 =
  36. 36.26255 ÷ 98 =
  37. 37.414238 ÷ 997 =
  38. 38.695279 ÷ 988 =
  39. 39.34481 ÷ 88 =
  40. 40.66706 ÷ 98 =

Answer key

  1. 422 rem 55
  2. 214 rem 67
  3. 628 rem 80
  4. 318 rem 83
  5. 654 rem 21
  6. 374 rem 46
  7. 284 rem 65
  8. 495 rem 76
  9. 83 rem 279
  10. 93 rem 680
  11. 648 rem 85
  12. 731 rem 6
  13. 678 rem 33
  14. 67 rem 3
  15. 1217 rem 2
  16. 676 rem 93
  17. 963 rem 1
  18. 195 rem 653
  19. 537 rem 273
  20. 860 rem 58
  21. 571 rem 83
  22. 110 rem 840
  23. 560 rem 78
  24. 512 rem 24
  25. 628 rem 810
  26. 301 rem 895
  27. 201 rem 95
  28. 476 rem 402
  29. 1162 rem 6
  30. 975 rem 694
  31. 505 rem 62
  32. 628 rem 0
  33. 23 rem 86
  34. 277 rem 65
  35. 598 rem 4
  36. 267 rem 89
  37. 415 rem 483
  38. 703 rem 715
  39. 391 rem 73
  40. 680 rem 66

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