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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 922 · 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. 1.574228 ÷ 998 =
  2. 2.285387 ÷ 897 =
  3. 3.41476 ÷ 989 =
  4. 4.26323 ÷ 88 =
  5. 5.661950 ÷ 997 =
  6. 6.96344 ÷ 98 =
  7. 7.919581 ÷ 997 =
  8. 8.237840 ÷ 989 =
  9. 9.137743 ÷ 989 =
  10. 10.11215 ÷ 89 =
  11. 11.24222 ÷ 88 =
  12. 12.579378 ÷ 997 =
  13. 13.381688 ÷ 897 =
  14. 14.215118 ÷ 997 =
  15. 15.221648 ÷ 998 =
  16. 16.47889 ÷ 96 =
  17. 17.249716 ÷ 989 =
  18. 18.11933 ÷ 97 =
  19. 19.16208 ÷ 98 =
  20. 20.6762 ÷ 8 =
  21. 21.67864 ÷ 97 =
  22. 22.17065 ÷ 88 =
  23. 23.75592 ÷ 96 =
  24. 24.10909 ÷ 89 =
  25. 25.712195 ÷ 988 =
  26. 26.61667 ÷ 998 =
  27. 27.655440 ÷ 988 =
  28. 28.447518 ÷ 989 =
  29. 29.74909 ÷ 97 =
  30. 30.650919 ÷ 897 =
  31. 31.171647 ÷ 897 =
  32. 32.25523 ÷ 88 =
  33. 33.69924 ÷ 98 =
  34. 34.5778 ÷ 8 =
  35. 35.91768 ÷ 89 =
  36. 36.71317 ÷ 88 =
  37. 37.159583 ÷ 989 =
  38. 38.147493 ÷ 988 =
  39. 39.240218 ÷ 897 =
  40. 40.578662 ÷ 997 =

Answer key

  1. 575 rem 378
  2. 318 rem 141
  3. 41 rem 927
  4. 299 rem 11
  5. 663 rem 939
  6. 983 rem 10
  7. 922 rem 347
  8. 240 rem 480
  9. 139 rem 272
  10. 126 rem 1
  11. 275 rem 22
  12. 581 rem 121
  13. 425 rem 463
  14. 215 rem 763
  15. 222 rem 92
  16. 498 rem 81
  17. 252 rem 488
  18. 123 rem 2
  19. 165 rem 38
  20. 845 rem 2
  21. 699 rem 61
  22. 193 rem 81
  23. 787 rem 40
  24. 122 rem 51
  25. 720 rem 835
  26. 61 rem 789
  27. 663 rem 396
  28. 452 rem 490
  29. 772 rem 25
  30. 725 rem 594
  31. 191 rem 320
  32. 290 rem 3
  33. 713 rem 50
  34. 722 rem 2
  35. 1031 rem 9
  36. 810 rem 37
  37. 161 rem 354
  38. 149 rem 281
  39. 267 rem 719
  40. 580 rem 402

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