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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 994 · 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. 1.2479 ÷ 8 =
  2. 2.3347 ÷ 8 =
  3. 3.55380 ÷ 98 =
  4. 4.861924 ÷ 998 =
  5. 5.13413 ÷ 89 =
  6. 6.218026 ÷ 997 =
  7. 7.43406 ÷ 98 =
  8. 8.478796 ÷ 998 =
  9. 9.4323 ÷ 8 =
  10. 10.69109 ÷ 88 =
  11. 11.8247 ÷ 98 =
  12. 12.63686 ÷ 97 =
  13. 13.47597 ÷ 97 =
  14. 14.7084 ÷ 96 =
  15. 15.898483 ÷ 998 =
  16. 16.595131 ÷ 998 =
  17. 17.674363 ÷ 897 =
  18. 18.38480 ÷ 98 =
  19. 19.241718 ÷ 989 =
  20. 20.590013 ÷ 998 =
  21. 21.22581 ÷ 98 =
  22. 22.6081 ÷ 8 =
  23. 23.139543 ÷ 897 =
  24. 24.47707 ÷ 988 =
  25. 25.331560 ÷ 997 =
  26. 26.3747 ÷ 8 =
  27. 27.983686 ÷ 988 =
  28. 28.682334 ÷ 989 =
  29. 29.76841 ÷ 98 =
  30. 30.5660 ÷ 8 =
  31. 31.68260 ÷ 97 =
  32. 32.557016 ÷ 998 =
  33. 33.30878 ÷ 89 =
  34. 34.953144 ÷ 998 =
  35. 35.676535 ÷ 998 =
  36. 36.25186 ÷ 98 =
  37. 37.17217 ÷ 97 =
  38. 38.22072 ÷ 89 =
  39. 39.98803 ÷ 98 =
  40. 40.1850 ÷ 8 =

Answer key

  1. 309 rem 7
  2. 418 rem 3
  3. 565 rem 10
  4. 863 rem 650
  5. 150 rem 63
  6. 218 rem 680
  7. 442 rem 90
  8. 479 rem 754
  9. 540 rem 3
  10. 785 rem 29
  11. 84 rem 15
  12. 656 rem 54
  13. 490 rem 67
  14. 73 rem 76
  15. 900 rem 283
  16. 596 rem 323
  17. 751 rem 716
  18. 392 rem 64
  19. 244 rem 402
  20. 591 rem 195
  21. 230 rem 41
  22. 760 rem 1
  23. 155 rem 508
  24. 48 rem 283
  25. 332 rem 556
  26. 468 rem 3
  27. 995 rem 626
  28. 689 rem 913
  29. 784 rem 9
  30. 707 rem 4
  31. 703 rem 69
  32. 558 rem 132
  33. 346 rem 84
  34. 955 rem 54
  35. 677 rem 889
  36. 257 rem 0
  37. 177 rem 48
  38. 248 rem 0
  39. 1008 rem 19
  40. 231 rem 2

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