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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 659 · 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. 1.31949 ÷ 98 =
  2. 2.88017 ÷ 98 =
  3. 3.81298 ÷ 97 =
  4. 4.279018 ÷ 997 =
  5. 5.218550 ÷ 998 =
  6. 6.97029 ÷ 98 =
  7. 7.929650 ÷ 988 =
  8. 8.694813 ÷ 997 =
  9. 9.12533 ÷ 96 =
  10. 10.191984 ÷ 897 =
  11. 11.858904 ÷ 997 =
  12. 12.32815 ÷ 897 =
  13. 13.386660 ÷ 997 =
  14. 14.550224 ÷ 998 =
  15. 15.46704 ÷ 88 =
  16. 16.851135 ÷ 998 =
  17. 17.93240 ÷ 96 =
  18. 18.437989 ÷ 897 =
  19. 19.443974 ÷ 897 =
  20. 20.8683 ÷ 8 =
  21. 21.29002 ÷ 96 =
  22. 22.12279 ÷ 96 =
  23. 23.695129 ÷ 897 =
  24. 24.899230 ÷ 998 =
  25. 25.8427 ÷ 8 =
  26. 26.245511 ÷ 997 =
  27. 27.71999 ÷ 98 =
  28. 28.2410 ÷ 8 =
  29. 29.65773 ÷ 89 =
  30. 30.40982 ÷ 96 =
  31. 31.37895 ÷ 88 =
  32. 32.404270 ÷ 998 =
  33. 33.713127 ÷ 989 =
  34. 34.69102 ÷ 98 =
  35. 35.243300 ÷ 897 =
  36. 36.626400 ÷ 897 =
  37. 37.43255 ÷ 88 =
  38. 38.90372 ÷ 89 =
  39. 39.367322 ÷ 988 =
  40. 40.15071 ÷ 98 =

Answer key

  1. 326 rem 1
  2. 898 rem 13
  3. 838 rem 12
  4. 279 rem 855
  5. 218 rem 986
  6. 990 rem 9
  7. 940 rem 930
  8. 696 rem 901
  9. 130 rem 53
  10. 214 rem 26
  11. 861 rem 487
  12. 36 rem 523
  13. 387 rem 821
  14. 551 rem 326
  15. 530 rem 64
  16. 852 rem 839
  17. 971 rem 24
  18. 488 rem 253
  19. 494 rem 856
  20. 1085 rem 3
  21. 302 rem 10
  22. 127 rem 87
  23. 774 rem 851
  24. 901 rem 32
  25. 1053 rem 3
  26. 246 rem 249
  27. 734 rem 67
  28. 301 rem 2
  29. 739 rem 2
  30. 426 rem 86
  31. 430 rem 55
  32. 405 rem 80
  33. 721 rem 58
  34. 705 rem 12
  35. 271 rem 213
  36. 698 rem 294
  37. 491 rem 47
  38. 1015 rem 37
  39. 371 rem 774
  40. 153 rem 77

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