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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 748 · 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. 1.752484 ÷ 897 =
  2. 2.762987 ÷ 897 =
  3. 3.7490 ÷ 8 =
  4. 4.2813 ÷ 97 =
  5. 5.707536 ÷ 997 =
  6. 6.40042 ÷ 98 =
  7. 7.843206 ÷ 988 =
  8. 8.772523 ÷ 997 =
  9. 9.15094 ÷ 89 =
  10. 10.11121 ÷ 96 =
  11. 11.4302 ÷ 97 =
  12. 12.266158 ÷ 897 =
  13. 13.292736 ÷ 997 =
  14. 14.157359 ÷ 998 =
  15. 15.669786 ÷ 988 =
  16. 16.650401 ÷ 997 =
  17. 17.3009 ÷ 98 =
  18. 18.853480 ÷ 997 =
  19. 19.31303 ÷ 96 =
  20. 20.503970 ÷ 988 =
  21. 21.36992 ÷ 97 =
  22. 22.634761 ÷ 998 =
  23. 23.49017 ÷ 97 =
  24. 24.66550 ÷ 97 =
  25. 25.52251 ÷ 96 =
  26. 26.70434 ÷ 98 =
  27. 27.143134 ÷ 988 =
  28. 28.188276 ÷ 989 =
  29. 29.597429 ÷ 997 =
  30. 30.384 ÷ 8 =
  31. 31.95568 ÷ 96 =
  32. 32.65365 ÷ 89 =
  33. 33.287639 ÷ 897 =
  34. 34.79420 ÷ 97 =
  35. 35.792163 ÷ 989 =
  36. 36.99041 ÷ 88 =
  37. 37.583139 ÷ 989 =
  38. 38.27414 ÷ 98 =
  39. 39.913406 ÷ 998 =
  40. 40.10425 ÷ 96 =

Answer key

  1. 838 rem 798
  2. 850 rem 537
  3. 936 rem 2
  4. 29 rem 0
  5. 709 rem 663
  6. 408 rem 58
  7. 853 rem 442
  8. 774 rem 845
  9. 169 rem 53
  10. 115 rem 81
  11. 44 rem 34
  12. 296 rem 646
  13. 293 rem 615
  14. 157 rem 673
  15. 677 rem 910
  16. 652 rem 357
  17. 30 rem 69
  18. 856 rem 48
  19. 326 rem 7
  20. 510 rem 90
  21. 381 rem 35
  22. 636 rem 33
  23. 505 rem 32
  24. 686 rem 8
  25. 544 rem 27
  26. 718 rem 70
  27. 144 rem 862
  28. 190 rem 366
  29. 599 rem 226
  30. 48 rem 0
  31. 995 rem 48
  32. 734 rem 39
  33. 320 rem 599
  34. 818 rem 74
  35. 800 rem 963
  36. 1125 rem 41
  37. 589 rem 618
  38. 279 rem 72
  39. 915 rem 236
  40. 108 rem 57

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