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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 900 · 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. 1.1417 ÷ 88 =
  2. 2.930412 ÷ 989 =
  3. 3.637460 ÷ 988 =
  4. 4.223250 ÷ 997 =
  5. 5.82052 ÷ 96 =
  6. 6.417894 ÷ 897 =
  7. 7.72454 ÷ 98 =
  8. 8.705144 ÷ 897 =
  9. 9.15943 ÷ 88 =
  10. 10.247886 ÷ 998 =
  11. 11.33981 ÷ 96 =
  12. 12.83698 ÷ 97 =
  13. 13.82570 ÷ 88 =
  14. 14.49141 ÷ 98 =
  15. 15.3018 ÷ 8 =
  16. 16.918736 ÷ 897 =
  17. 17.76470 ÷ 997 =
  18. 18.49837 ÷ 89 =
  19. 19.27306 ÷ 88 =
  20. 20.46377 ÷ 89 =
  21. 21.47894 ÷ 897 =
  22. 22.78328 ÷ 98 =
  23. 23.232987 ÷ 989 =
  24. 24.282900 ÷ 998 =
  25. 25.1277 ÷ 89 =
  26. 26.223624 ÷ 897 =
  27. 27.286341 ÷ 989 =
  28. 28.23380 ÷ 88 =
  29. 29.970754 ÷ 989 =
  30. 30.99280 ÷ 96 =
  31. 31.21074 ÷ 988 =
  32. 32.54921 ÷ 98 =
  33. 33.568577 ÷ 989 =
  34. 34.74178 ÷ 997 =
  35. 35.472458 ÷ 897 =
  36. 36.22554 ÷ 88 =
  37. 37.9421 ÷ 8 =
  38. 38.904877 ÷ 998 =
  39. 39.679624 ÷ 897 =
  40. 40.35432 ÷ 89 =

Answer key

  1. 16 rem 9
  2. 940 rem 752
  3. 645 rem 200
  4. 223 rem 919
  5. 854 rem 68
  6. 465 rem 789
  7. 739 rem 32
  8. 786 rem 102
  9. 181 rem 15
  10. 248 rem 382
  11. 353 rem 93
  12. 862 rem 84
  13. 938 rem 26
  14. 501 rem 43
  15. 377 rem 2
  16. 1024 rem 208
  17. 76 rem 698
  18. 559 rem 86
  19. 310 rem 26
  20. 521 rem 8
  21. 53 rem 353
  22. 799 rem 26
  23. 235 rem 572
  24. 283 rem 466
  25. 14 rem 31
  26. 249 rem 271
  27. 289 rem 520
  28. 265 rem 60
  29. 981 rem 545
  30. 1034 rem 16
  31. 21 rem 326
  32. 560 rem 41
  33. 574 rem 891
  34. 74 rem 400
  35. 526 rem 636
  36. 256 rem 26
  37. 1177 rem 5
  38. 906 rem 689
  39. 757 rem 595
  40. 398 rem 10

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