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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 545 · 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. 1.588279 ÷ 998 =
  2. 2.163625 ÷ 897 =
  3. 3.3117 ÷ 97 =
  4. 4.6473 ÷ 8 =
  5. 5.261205 ÷ 988 =
  6. 6.615088 ÷ 989 =
  7. 7.42899 ÷ 88 =
  8. 8.9434 ÷ 96 =
  9. 9.2131 ÷ 8 =
  10. 10.16136 ÷ 98 =
  11. 11.27130 ÷ 897 =
  12. 12.98245 ÷ 97 =
  13. 13.5385 ÷ 8 =
  14. 14.92891 ÷ 89 =
  15. 15.95262 ÷ 89 =
  16. 16.25605 ÷ 98 =
  17. 17.705632 ÷ 997 =
  18. 18.49266 ÷ 989 =
  19. 19.5938 ÷ 8 =
  20. 20.534894 ÷ 997 =
  21. 21.462096 ÷ 998 =
  22. 22.4876 ÷ 8 =
  23. 23.9225 ÷ 8 =
  24. 24.78376 ÷ 96 =
  25. 25.459415 ÷ 988 =
  26. 26.36027 ÷ 88 =
  27. 27.422 ÷ 8 =
  28. 28.19202 ÷ 88 =
  29. 29.2423 ÷ 8 =
  30. 30.235238 ÷ 897 =
  31. 31.324909 ÷ 998 =
  32. 32.67081 ÷ 96 =
  33. 33.152513 ÷ 897 =
  34. 34.65429 ÷ 98 =
  35. 35.10282 ÷ 96 =
  36. 36.469795 ÷ 998 =
  37. 37.232961 ÷ 897 =
  38. 38.816839 ÷ 989 =
  39. 39.3219 ÷ 8 =
  40. 40.30914 ÷ 98 =

Answer key

  1. 589 rem 457
  2. 182 rem 371
  3. 32 rem 13
  4. 809 rem 1
  5. 264 rem 373
  6. 621 rem 919
  7. 487 rem 43
  8. 98 rem 26
  9. 266 rem 3
  10. 164 rem 64
  11. 30 rem 220
  12. 1012 rem 81
  13. 673 rem 1
  14. 1043 rem 64
  15. 1070 rem 32
  16. 261 rem 27
  17. 707 rem 753
  18. 49 rem 805
  19. 742 rem 2
  20. 536 rem 502
  21. 463 rem 22
  22. 609 rem 4
  23. 1153 rem 1
  24. 816 rem 40
  25. 464 rem 983
  26. 409 rem 35
  27. 52 rem 6
  28. 218 rem 18
  29. 302 rem 7
  30. 262 rem 224
  31. 325 rem 559
  32. 698 rem 73
  33. 170 rem 23
  34. 667 rem 63
  35. 107 rem 10
  36. 470 rem 735
  37. 259 rem 638
  38. 825 rem 914
  39. 402 rem 3
  40. 315 rem 44

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