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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 714 · 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. 1.60576 ÷ 997 =
  2. 2.76857 ÷ 97 =
  3. 3.2926 ÷ 8 =
  4. 4.66771 ÷ 89 =
  5. 5.71873 ÷ 89 =
  6. 6.7623 ÷ 8 =
  7. 7.5394 ÷ 88 =
  8. 8.621797 ÷ 989 =
  9. 9.53674 ÷ 89 =
  10. 10.26271 ÷ 998 =
  11. 11.5873 ÷ 8 =
  12. 12.3438 ÷ 97 =
  13. 13.316505 ÷ 998 =
  14. 14.68652 ÷ 98 =
  15. 15.205935 ÷ 997 =
  16. 16.633466 ÷ 998 =
  17. 17.163175 ÷ 997 =
  18. 18.88637 ÷ 97 =
  19. 19.978615 ÷ 997 =
  20. 20.98706 ÷ 96 =
  21. 21.20441 ÷ 89 =
  22. 22.442695 ÷ 988 =
  23. 23.586155 ÷ 997 =
  24. 24.16635 ÷ 89 =
  25. 25.62453 ÷ 97 =
  26. 26.162718 ÷ 998 =
  27. 27.66174 ÷ 96 =
  28. 28.2255 ÷ 96 =
  29. 29.57235 ÷ 89 =
  30. 30.2257 ÷ 8 =
  31. 31.203364 ÷ 997 =
  32. 32.58096 ÷ 89 =
  33. 33.484165 ÷ 988 =
  34. 34.70286 ÷ 97 =
  35. 35.843622 ÷ 998 =
  36. 36.65986 ÷ 98 =
  37. 37.6102 ÷ 8 =
  38. 38.820943 ÷ 997 =
  39. 39.470232 ÷ 897 =
  40. 40.14939 ÷ 88 =

Answer key

  1. 60 rem 756
  2. 792 rem 33
  3. 365 rem 6
  4. 750 rem 21
  5. 807 rem 50
  6. 952 rem 7
  7. 61 rem 26
  8. 628 rem 705
  9. 603 rem 7
  10. 26 rem 323
  11. 734 rem 1
  12. 35 rem 43
  13. 317 rem 139
  14. 700 rem 52
  15. 206 rem 553
  16. 634 rem 734
  17. 163 rem 664
  18. 913 rem 76
  19. 981 rem 558
  20. 1028 rem 18
  21. 229 rem 60
  22. 448 rem 71
  23. 587 rem 916
  24. 186 rem 81
  25. 643 rem 82
  26. 163 rem 44
  27. 689 rem 30
  28. 23 rem 47
  29. 643 rem 8
  30. 282 rem 1
  31. 203 rem 973
  32. 652 rem 68
  33. 490 rem 45
  34. 724 rem 58
  35. 845 rem 312
  36. 673 rem 32
  37. 762 rem 6
  38. 823 rem 412
  39. 524 rem 204
  40. 169 rem 67

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