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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 709 · 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. 1.833674 ÷ 989 =
  2. 2.11341 ÷ 89 =
  3. 3.460472 ÷ 897 =
  4. 4.49981 ÷ 98 =
  5. 5.29069 ÷ 98 =
  6. 6.721835 ÷ 988 =
  7. 7.9736 ÷ 88 =
  8. 8.47125 ÷ 89 =
  9. 9.9340 ÷ 89 =
  10. 10.60194 ÷ 96 =
  11. 11.5926 ÷ 8 =
  12. 12.69369 ÷ 88 =
  13. 13.779594 ÷ 997 =
  14. 14.682664 ÷ 998 =
  15. 15.95209 ÷ 88 =
  16. 16.160504 ÷ 989 =
  17. 17.27349 ÷ 89 =
  18. 18.603799 ÷ 997 =
  19. 19.50864 ÷ 97 =
  20. 20.80263 ÷ 89 =
  21. 21.4601 ÷ 97 =
  22. 22.518055 ÷ 989 =
  23. 23.862414 ÷ 997 =
  24. 24.838444 ÷ 997 =
  25. 25.811 ÷ 8 =
  26. 26.10903 ÷ 96 =
  27. 27.88950 ÷ 97 =
  28. 28.695900 ÷ 897 =
  29. 29.363394 ÷ 998 =
  30. 30.159138 ÷ 997 =
  31. 31.27109 ÷ 98 =
  32. 32.68711 ÷ 997 =
  33. 33.46002 ÷ 97 =
  34. 34.4552 ÷ 89 =
  35. 35.22419 ÷ 98 =
  36. 36.5729 ÷ 8 =
  37. 37.319771 ÷ 988 =
  38. 38.41608 ÷ 97 =
  39. 39.75992 ÷ 97 =
  40. 40.67892 ÷ 88 =

Answer key

  1. 842 rem 936
  2. 127 rem 38
  3. 513 rem 311
  4. 510 rem 1
  5. 296 rem 61
  6. 730 rem 595
  7. 110 rem 56
  8. 529 rem 44
  9. 104 rem 84
  10. 627 rem 2
  11. 740 rem 6
  12. 788 rem 25
  13. 781 rem 937
  14. 684 rem 32
  15. 1081 rem 81
  16. 162 rem 286
  17. 307 rem 26
  18. 605 rem 614
  19. 524 rem 36
  20. 901 rem 74
  21. 47 rem 42
  22. 523 rem 808
  23. 865 rem 9
  24. 840 rem 964
  25. 101 rem 3
  26. 113 rem 55
  27. 917 rem 1
  28. 775 rem 725
  29. 364 rem 122
  30. 159 rem 615
  31. 276 rem 61
  32. 68 rem 915
  33. 474 rem 24
  34. 51 rem 13
  35. 228 rem 75
  36. 716 rem 1
  37. 323 rem 647
  38. 428 rem 92
  39. 783 rem 41
  40. 771 rem 44

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