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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 624 · 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. 1.67436 ÷ 98 =
  2. 2.275975 ÷ 997 =
  3. 3.1595 ÷ 8 =
  4. 4.29515 ÷ 97 =
  5. 5.765743 ÷ 897 =
  6. 6.2339 ÷ 8 =
  7. 7.994660 ÷ 988 =
  8. 8.28826 ÷ 98 =
  9. 9.59382 ÷ 88 =
  10. 10.45845 ÷ 96 =
  11. 11.916169 ÷ 998 =
  12. 12.5870 ÷ 8 =
  13. 13.42101 ÷ 89 =
  14. 14.36897 ÷ 989 =
  15. 15.73228 ÷ 998 =
  16. 16.132095 ÷ 997 =
  17. 17.4368 ÷ 8 =
  18. 18.37092 ÷ 98 =
  19. 19.309082 ÷ 989 =
  20. 20.3760 ÷ 8 =
  21. 21.109382 ÷ 997 =
  22. 22.93164 ÷ 88 =
  23. 23.91605 ÷ 98 =
  24. 24.208519 ÷ 988 =
  25. 25.10895 ÷ 89 =
  26. 26.39767 ÷ 89 =
  27. 27.28143 ÷ 98 =
  28. 28.44626 ÷ 88 =
  29. 29.28908 ÷ 88 =
  30. 30.3044 ÷ 96 =
  31. 31.770414 ÷ 989 =
  32. 32.539595 ÷ 989 =
  33. 33.584717 ÷ 988 =
  34. 34.454750 ÷ 897 =
  35. 35.949011 ÷ 997 =
  36. 36.96704 ÷ 88 =
  37. 37.979284 ÷ 997 =
  38. 38.30484 ÷ 96 =
  39. 39.147798 ÷ 998 =
  40. 40.75964 ÷ 897 =

Answer key

  1. 688 rem 12
  2. 276 rem 803
  3. 199 rem 3
  4. 304 rem 27
  5. 853 rem 602
  6. 292 rem 3
  7. 1006 rem 732
  8. 294 rem 14
  9. 674 rem 70
  10. 477 rem 53
  11. 918 rem 5
  12. 733 rem 6
  13. 473 rem 4
  14. 37 rem 304
  15. 73 rem 374
  16. 132 rem 491
  17. 546 rem 0
  18. 378 rem 48
  19. 312 rem 514
  20. 470 rem 0
  21. 109 rem 709
  22. 1058 rem 60
  23. 934 rem 73
  24. 211 rem 51
  25. 122 rem 37
  26. 446 rem 73
  27. 287 rem 17
  28. 507 rem 10
  29. 328 rem 44
  30. 31 rem 68
  31. 778 rem 972
  32. 545 rem 590
  33. 591 rem 809
  34. 506 rem 868
  35. 951 rem 864
  36. 1098 rem 80
  37. 982 rem 230
  38. 317 rem 52
  39. 148 rem 94
  40. 84 rem 616

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