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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 408 · 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. 1.61760 ÷ 88 =
  2. 2.1307 ÷ 8 =
  3. 3.68166 ÷ 97 =
  4. 4.91103 ÷ 897 =
  5. 5.12844 ÷ 97 =
  6. 6.32291 ÷ 88 =
  7. 7.24125 ÷ 98 =
  8. 8.1612 ÷ 8 =
  9. 9.60597 ÷ 97 =
  10. 10.166671 ÷ 998 =
  11. 11.720764 ÷ 988 =
  12. 12.6095 ÷ 97 =
  13. 13.49182 ÷ 97 =
  14. 14.54675 ÷ 96 =
  15. 15.13711 ÷ 88 =
  16. 16.5553 ÷ 98 =
  17. 17.66790 ÷ 988 =
  18. 18.85949 ÷ 988 =
  19. 19.97112 ÷ 988 =
  20. 20.56817 ÷ 97 =
  21. 21.716760 ÷ 998 =
  22. 22.55151 ÷ 96 =
  23. 23.467772 ÷ 997 =
  24. 24.165605 ÷ 897 =
  25. 25.908167 ÷ 997 =
  26. 26.20294 ÷ 89 =
  27. 27.900723 ÷ 998 =
  28. 28.103506 ÷ 997 =
  29. 29.277193 ÷ 997 =
  30. 30.254286 ÷ 988 =
  31. 31.9330 ÷ 8 =
  32. 32.16384 ÷ 89 =
  33. 33.979991 ÷ 998 =
  34. 34.73708 ÷ 96 =
  35. 35.91593 ÷ 98 =
  36. 36.737431 ÷ 988 =
  37. 37.532860 ÷ 997 =
  38. 38.2540 ÷ 88 =
  39. 39.63926 ÷ 97 =
  40. 40.83567 ÷ 98 =

Answer key

  1. 701 rem 72
  2. 163 rem 3
  3. 702 rem 72
  4. 101 rem 506
  5. 132 rem 40
  6. 366 rem 83
  7. 246 rem 17
  8. 201 rem 4
  9. 624 rem 69
  10. 167 rem 5
  11. 729 rem 512
  12. 62 rem 81
  13. 507 rem 3
  14. 569 rem 51
  15. 155 rem 71
  16. 56 rem 65
  17. 67 rem 594
  18. 86 rem 981
  19. 98 rem 288
  20. 585 rem 72
  21. 718 rem 196
  22. 574 rem 47
  23. 469 rem 179
  24. 184 rem 557
  25. 910 rem 897
  26. 228 rem 2
  27. 902 rem 527
  28. 103 rem 815
  29. 278 rem 27
  30. 257 rem 370
  31. 1166 rem 2
  32. 184 rem 8
  33. 981 rem 953
  34. 767 rem 76
  35. 934 rem 61
  36. 746 rem 383
  37. 534 rem 462
  38. 28 rem 76
  39. 659 rem 3
  40. 852 rem 71

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