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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 147 · 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. 1.135326 ÷ 897 =
  2. 2.95860 ÷ 96 =
  3. 3.6122 ÷ 98 =
  4. 4.26359 ÷ 88 =
  5. 5.919314 ÷ 989 =
  6. 6.15870 ÷ 88 =
  7. 7.26593 ÷ 988 =
  8. 8.44108 ÷ 96 =
  9. 9.54329 ÷ 98 =
  10. 10.75182 ÷ 96 =
  11. 11.27766 ÷ 98 =
  12. 12.202145 ÷ 998 =
  13. 13.26559 ÷ 97 =
  14. 14.48746 ÷ 89 =
  15. 15.242921 ÷ 989 =
  16. 16.98228 ÷ 97 =
  17. 17.5008 ÷ 8 =
  18. 18.5172 ÷ 97 =
  19. 19.348592 ÷ 988 =
  20. 20.237645 ÷ 897 =
  21. 21.30664 ÷ 997 =
  22. 22.1934 ÷ 8 =
  23. 23.51301 ÷ 98 =
  24. 24.54703 ÷ 96 =
  25. 25.573477 ÷ 989 =
  26. 26.172480 ÷ 997 =
  27. 27.80644 ÷ 98 =
  28. 28.96418 ÷ 96 =
  29. 29.82990 ÷ 897 =
  30. 30.13379 ÷ 88 =
  31. 31.707904 ÷ 997 =
  32. 32.54654 ÷ 97 =
  33. 33.797328 ÷ 997 =
  34. 34.43336 ÷ 96 =
  35. 35.22396 ÷ 89 =
  36. 36.372270 ÷ 989 =
  37. 37.44742 ÷ 989 =
  38. 38.897331 ÷ 997 =
  39. 39.663254 ÷ 998 =
  40. 40.449356 ÷ 997 =

Answer key

  1. 150 rem 776
  2. 998 rem 52
  3. 62 rem 46
  4. 299 rem 47
  5. 929 rem 533
  6. 180 rem 30
  7. 26 rem 905
  8. 459 rem 44
  9. 554 rem 37
  10. 783 rem 14
  11. 283 rem 32
  12. 202 rem 549
  13. 273 rem 78
  14. 547 rem 63
  15. 245 rem 616
  16. 1012 rem 64
  17. 626 rem 0
  18. 53 rem 31
  19. 352 rem 816
  20. 264 rem 837
  21. 30 rem 754
  22. 241 rem 6
  23. 523 rem 47
  24. 569 rem 79
  25. 579 rem 846
  26. 172 rem 996
  27. 822 rem 88
  28. 1004 rem 34
  29. 92 rem 466
  30. 152 rem 3
  31. 710 rem 34
  32. 563 rem 43
  33. 799 rem 725
  34. 451 rem 40
  35. 251 rem 57
  36. 376 rem 406
  37. 45 rem 237
  38. 900 rem 31
  39. 664 rem 582
  40. 450 rem 706

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