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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 835 · 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. 1.722092 ÷ 989 =
  2. 2.2657 ÷ 8 =
  3. 3.86471 ÷ 97 =
  4. 4.764319 ÷ 897 =
  5. 5.835278 ÷ 998 =
  6. 6.11411 ÷ 88 =
  7. 7.231914 ÷ 997 =
  8. 8.2237 ÷ 8 =
  9. 9.2047 ÷ 88 =
  10. 10.58335 ÷ 98 =
  11. 11.924455 ÷ 989 =
  12. 12.208415 ÷ 988 =
  13. 13.68433 ÷ 897 =
  14. 14.208241 ÷ 997 =
  15. 15.568202 ÷ 989 =
  16. 16.59169 ÷ 97 =
  17. 17.316417 ÷ 988 =
  18. 18.43063 ÷ 897 =
  19. 19.229702 ÷ 988 =
  20. 20.82479 ÷ 97 =
  21. 21.949071 ÷ 998 =
  22. 22.88256 ÷ 88 =
  23. 23.298308 ÷ 997 =
  24. 24.2058 ÷ 8 =
  25. 25.38721 ÷ 97 =
  26. 26.616048 ÷ 997 =
  27. 27.21587 ÷ 89 =
  28. 28.217649 ÷ 998 =
  29. 29.64798 ÷ 897 =
  30. 30.21337 ÷ 88 =
  31. 31.59104 ÷ 97 =
  32. 32.96830 ÷ 97 =
  33. 33.3617 ÷ 8 =
  34. 34.48535 ÷ 96 =
  35. 35.10410 ÷ 88 =
  36. 36.5943 ÷ 8 =
  37. 37.40317 ÷ 89 =
  38. 38.48723 ÷ 98 =
  39. 39.6424 ÷ 8 =
  40. 40.725248 ÷ 988 =

Answer key

  1. 730 rem 122
  2. 332 rem 1
  3. 891 rem 44
  4. 852 rem 75
  5. 836 rem 950
  6. 129 rem 59
  7. 232 rem 610
  8. 279 rem 5
  9. 23 rem 23
  10. 595 rem 25
  11. 934 rem 729
  12. 210 rem 935
  13. 76 rem 261
  14. 208 rem 865
  15. 574 rem 516
  16. 609 rem 96
  17. 320 rem 257
  18. 48 rem 7
  19. 232 rem 486
  20. 850 rem 29
  21. 950 rem 971
  22. 1002 rem 80
  23. 299 rem 205
  24. 257 rem 2
  25. 399 rem 18
  26. 617 rem 899
  27. 242 rem 49
  28. 218 rem 85
  29. 72 rem 214
  30. 242 rem 41
  31. 609 rem 31
  32. 998 rem 24
  33. 452 rem 1
  34. 505 rem 55
  35. 118 rem 26
  36. 742 rem 7
  37. 453 rem 0
  38. 497 rem 17
  39. 803 rem 0
  40. 734 rem 56

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