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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 399 · 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. 1.40757 ÷ 96 =
  2. 2.91008 ÷ 88 =
  3. 3.249102 ÷ 998 =
  4. 4.177729 ÷ 998 =
  5. 5.918527 ÷ 988 =
  6. 6.523970 ÷ 897 =
  7. 7.5259 ÷ 88 =
  8. 8.3815 ÷ 89 =
  9. 9.5630 ÷ 89 =
  10. 10.7017 ÷ 8 =
  11. 11.669061 ÷ 997 =
  12. 12.270902 ÷ 989 =
  13. 13.34546 ÷ 88 =
  14. 14.27969 ÷ 88 =
  15. 15.548706 ÷ 897 =
  16. 16.461243 ÷ 897 =
  17. 17.9922 ÷ 8 =
  18. 18.56119 ÷ 89 =
  19. 19.37269 ÷ 98 =
  20. 20.4893 ÷ 8 =
  21. 21.9897 ÷ 96 =
  22. 22.29406 ÷ 88 =
  23. 23.9579 ÷ 8 =
  24. 24.62094 ÷ 88 =
  25. 25.85307 ÷ 96 =
  26. 26.109715 ÷ 997 =
  27. 27.608852 ÷ 997 =
  28. 28.735874 ÷ 897 =
  29. 29.177860 ÷ 998 =
  30. 30.292053 ÷ 897 =
  31. 31.499942 ÷ 988 =
  32. 32.238389 ÷ 998 =
  33. 33.305818 ÷ 997 =
  34. 34.19307 ÷ 98 =
  35. 35.86928 ÷ 96 =
  36. 36.25337 ÷ 989 =
  37. 37.41997 ÷ 98 =
  38. 38.49691 ÷ 89 =
  39. 39.671307 ÷ 989 =
  40. 40.93273 ÷ 98 =

Answer key

  1. 424 rem 53
  2. 1034 rem 16
  3. 249 rem 600
  4. 178 rem 85
  5. 929 rem 675
  6. 584 rem 122
  7. 59 rem 67
  8. 42 rem 77
  9. 63 rem 23
  10. 877 rem 1
  11. 671 rem 74
  12. 273 rem 905
  13. 392 rem 50
  14. 317 rem 73
  15. 611 rem 639
  16. 514 rem 185
  17. 1240 rem 2
  18. 630 rem 49
  19. 380 rem 29
  20. 611 rem 5
  21. 103 rem 9
  22. 334 rem 14
  23. 1197 rem 3
  24. 705 rem 54
  25. 888 rem 59
  26. 110 rem 45
  27. 610 rem 682
  28. 820 rem 334
  29. 178 rem 216
  30. 325 rem 528
  31. 506 rem 14
  32. 238 rem 865
  33. 306 rem 736
  34. 197 rem 1
  35. 905 rem 48
  36. 25 rem 612
  37. 428 rem 53
  38. 558 rem 29
  39. 678 rem 765
  40. 951 rem 75

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