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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 639 · 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. 1.8926 ÷ 98 =
  2. 2.267022 ÷ 997 =
  3. 3.67364 ÷ 97 =
  4. 4.16100 ÷ 89 =
  5. 5.217261 ÷ 988 =
  6. 6.37842 ÷ 88 =
  7. 7.55285 ÷ 96 =
  8. 8.20275 ÷ 89 =
  9. 9.9257 ÷ 8 =
  10. 10.908963 ÷ 989 =
  11. 11.675502 ÷ 998 =
  12. 12.222702 ÷ 897 =
  13. 13.609648 ÷ 989 =
  14. 14.507327 ÷ 897 =
  15. 15.81828 ÷ 97 =
  16. 16.748403 ÷ 997 =
  17. 17.8265 ÷ 8 =
  18. 18.776602 ÷ 997 =
  19. 19.605380 ÷ 988 =
  20. 20.6215 ÷ 98 =
  21. 21.502870 ÷ 998 =
  22. 22.499332 ÷ 989 =
  23. 23.528661 ÷ 989 =
  24. 24.6453 ÷ 98 =
  25. 25.640550 ÷ 998 =
  26. 26.257360 ÷ 989 =
  27. 27.382873 ÷ 989 =
  28. 28.80325 ÷ 97 =
  29. 29.8620 ÷ 8 =
  30. 30.351483 ÷ 897 =
  31. 31.350507 ÷ 989 =
  32. 32.10350 ÷ 88 =
  33. 33.54633 ÷ 98 =
  34. 34.727487 ÷ 997 =
  35. 35.176453 ÷ 988 =
  36. 36.77801 ÷ 88 =
  37. 37.40171 ÷ 997 =
  38. 38.93018 ÷ 88 =
  39. 39.865731 ÷ 988 =
  40. 40.34384 ÷ 88 =

Answer key

  1. 91 rem 8
  2. 267 rem 823
  3. 694 rem 46
  4. 180 rem 80
  5. 219 rem 889
  6. 430 rem 2
  7. 575 rem 85
  8. 227 rem 72
  9. 1157 rem 1
  10. 919 rem 72
  11. 676 rem 854
  12. 248 rem 246
  13. 616 rem 424
  14. 565 rem 522
  15. 843 rem 57
  16. 750 rem 653
  17. 1033 rem 1
  18. 778 rem 936
  19. 612 rem 724
  20. 63 rem 41
  21. 503 rem 876
  22. 504 rem 876
  23. 534 rem 535
  24. 65 rem 83
  25. 641 rem 832
  26. 260 rem 220
  27. 387 rem 130
  28. 828 rem 9
  29. 1077 rem 4
  30. 391 rem 756
  31. 354 rem 401
  32. 117 rem 54
  33. 557 rem 47
  34. 729 rem 674
  35. 178 rem 589
  36. 884 rem 9
  37. 40 rem 291
  38. 1057 rem 2
  39. 876 rem 243
  40. 390 rem 64

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