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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 218 · 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. 1.51921 ÷ 88 =
  2. 2.5270 ÷ 8 =
  3. 3.699670 ÷ 997 =
  4. 4.82722 ÷ 98 =
  5. 5.508659 ÷ 897 =
  6. 6.74627 ÷ 89 =
  7. 7.86341 ÷ 97 =
  8. 8.136456 ÷ 998 =
  9. 9.858327 ÷ 897 =
  10. 10.50359 ÷ 98 =
  11. 11.617400 ÷ 997 =
  12. 12.2433 ÷ 8 =
  13. 13.136206 ÷ 997 =
  14. 14.85542 ÷ 97 =
  15. 15.887092 ÷ 988 =
  16. 16.5270 ÷ 8 =
  17. 17.82110 ÷ 98 =
  18. 18.58362 ÷ 998 =
  19. 19.10755 ÷ 96 =
  20. 20.30825 ÷ 96 =
  21. 21.18695 ÷ 97 =
  22. 22.65323 ÷ 97 =
  23. 23.1059 ÷ 8 =
  24. 24.852668 ÷ 989 =
  25. 25.82713 ÷ 997 =
  26. 26.887828 ÷ 989 =
  27. 27.495960 ÷ 998 =
  28. 28.152701 ÷ 988 =
  29. 29.385944 ÷ 988 =
  30. 30.824216 ÷ 989 =
  31. 31.247659 ÷ 988 =
  32. 32.156018 ÷ 997 =
  33. 33.45795 ÷ 97 =
  34. 34.31491 ÷ 88 =
  35. 35.37919 ÷ 989 =
  36. 36.329051 ÷ 989 =
  37. 37.950249 ÷ 989 =
  38. 38.277326 ÷ 998 =
  39. 39.320 ÷ 8 =
  40. 40.313112 ÷ 997 =

Answer key

  1. 590 rem 1
  2. 658 rem 6
  3. 701 rem 773
  4. 844 rem 10
  5. 567 rem 60
  6. 838 rem 45
  7. 890 rem 11
  8. 136 rem 728
  9. 956 rem 795
  10. 513 rem 85
  11. 619 rem 257
  12. 304 rem 1
  13. 136 rem 614
  14. 881 rem 85
  15. 897 rem 856
  16. 658 rem 6
  17. 837 rem 84
  18. 58 rem 478
  19. 112 rem 3
  20. 321 rem 9
  21. 192 rem 71
  22. 673 rem 42
  23. 132 rem 3
  24. 862 rem 150
  25. 82 rem 959
  26. 897 rem 695
  27. 496 rem 952
  28. 154 rem 549
  29. 390 rem 624
  30. 833 rem 379
  31. 250 rem 659
  32. 156 rem 486
  33. 472 rem 11
  34. 357 rem 75
  35. 38 rem 337
  36. 332 rem 703
  37. 960 rem 809
  38. 277 rem 880
  39. 40 rem 0
  40. 314 rem 54

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