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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 282 · 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. 1.764960 ÷ 998 =
  2. 2.959353 ÷ 988 =
  3. 3.99422 ÷ 989 =
  4. 4.23389 ÷ 96 =
  5. 5.16471 ÷ 89 =
  6. 6.355988 ÷ 998 =
  7. 7.74818 ÷ 88 =
  8. 8.7530 ÷ 8 =
  9. 9.195212 ÷ 989 =
  10. 10.3009 ÷ 8 =
  11. 11.6390 ÷ 8 =
  12. 12.2568 ÷ 96 =
  13. 13.766475 ÷ 988 =
  14. 14.368144 ÷ 997 =
  15. 15.409712 ÷ 989 =
  16. 16.92011 ÷ 97 =
  17. 17.44539 ÷ 88 =
  18. 18.26872 ÷ 97 =
  19. 19.179728 ÷ 988 =
  20. 20.25436 ÷ 97 =
  21. 21.49089 ÷ 89 =
  22. 22.68179 ÷ 997 =
  23. 23.68037 ÷ 98 =
  24. 24.37497 ÷ 98 =
  25. 25.6101 ÷ 88 =
  26. 26.832033 ÷ 989 =
  27. 27.27805 ÷ 89 =
  28. 28.10686 ÷ 98 =
  29. 29.1233 ÷ 8 =
  30. 30.4349 ÷ 8 =
  31. 31.92314 ÷ 97 =
  32. 32.19829 ÷ 89 =
  33. 33.733922 ÷ 998 =
  34. 34.716417 ÷ 988 =
  35. 35.18248 ÷ 89 =
  36. 36.50119 ÷ 96 =
  37. 37.46166 ÷ 97 =
  38. 38.88857 ÷ 96 =
  39. 39.55305 ÷ 89 =
  40. 40.46708 ÷ 97 =

Answer key

  1. 766 rem 492
  2. 971 rem 5
  3. 100 rem 522
  4. 243 rem 61
  5. 185 rem 6
  6. 356 rem 700
  7. 850 rem 18
  8. 941 rem 2
  9. 197 rem 379
  10. 376 rem 1
  11. 798 rem 6
  12. 26 rem 72
  13. 775 rem 775
  14. 369 rem 251
  15. 414 rem 266
  16. 948 rem 55
  17. 506 rem 11
  18. 277 rem 3
  19. 181 rem 900
  20. 262 rem 22
  21. 551 rem 50
  22. 68 rem 383
  23. 694 rem 25
  24. 382 rem 61
  25. 69 rem 29
  26. 841 rem 284
  27. 312 rem 37
  28. 109 rem 4
  29. 154 rem 1
  30. 543 rem 5
  31. 951 rem 67
  32. 222 rem 71
  33. 735 rem 392
  34. 725 rem 117
  35. 205 rem 3
  36. 522 rem 7
  37. 475 rem 91
  38. 925 rem 57
  39. 621 rem 36
  40. 481 rem 51

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