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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 51 · 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. 1.38317 ÷ 97 =
  2. 2.33444 ÷ 98 =
  3. 3.11130 ÷ 98 =
  4. 4.47455 ÷ 89 =
  5. 5.115365 ÷ 997 =
  6. 6.79358 ÷ 89 =
  7. 7.60556 ÷ 98 =
  8. 8.62788 ÷ 88 =
  9. 9.59984 ÷ 88 =
  10. 10.4688 ÷ 88 =
  11. 11.386473 ÷ 897 =
  12. 12.233617 ÷ 998 =
  13. 13.4108 ÷ 8 =
  14. 14.20720 ÷ 96 =
  15. 15.13796 ÷ 96 =
  16. 16.98935 ÷ 897 =
  17. 17.732404 ÷ 997 =
  18. 18.982266 ÷ 897 =
  19. 19.93886 ÷ 97 =
  20. 20.70638 ÷ 98 =
  21. 21.86677 ÷ 98 =
  22. 22.91230 ÷ 97 =
  23. 23.86151 ÷ 89 =
  24. 24.523005 ÷ 988 =
  25. 25.446044 ÷ 988 =
  26. 26.357195 ÷ 989 =
  27. 27.37112 ÷ 89 =
  28. 28.2390 ÷ 8 =
  29. 29.32833 ÷ 88 =
  30. 30.73682 ÷ 98 =
  31. 31.18989 ÷ 97 =
  32. 32.118952 ÷ 988 =
  33. 33.5101 ÷ 8 =
  34. 34.6519 ÷ 8 =
  35. 35.22412 ÷ 88 =
  36. 36.13463 ÷ 97 =
  37. 37.793430 ÷ 998 =
  38. 38.54224 ÷ 98 =
  39. 39.742153 ÷ 997 =
  40. 40.58829 ÷ 97 =

Answer key

  1. 395 rem 2
  2. 341 rem 26
  3. 113 rem 56
  4. 533 rem 18
  5. 115 rem 710
  6. 891 rem 59
  7. 617 rem 90
  8. 713 rem 44
  9. 681 rem 56
  10. 53 rem 24
  11. 430 rem 763
  12. 234 rem 85
  13. 513 rem 4
  14. 215 rem 80
  15. 143 rem 68
  16. 110 rem 265
  17. 734 rem 606
  18. 1095 rem 51
  19. 967 rem 87
  20. 720 rem 78
  21. 884 rem 45
  22. 940 rem 50
  23. 967 rem 88
  24. 529 rem 353
  25. 451 rem 456
  26. 361 rem 166
  27. 416 rem 88
  28. 298 rem 6
  29. 373 rem 9
  30. 751 rem 84
  31. 195 rem 74
  32. 120 rem 392
  33. 637 rem 5
  34. 814 rem 7
  35. 254 rem 60
  36. 138 rem 77
  37. 795 rem 20
  38. 553 rem 30
  39. 744 rem 385
  40. 606 rem 47

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